Question 1

Solve the problem.
-Find  f(−4) f(-4) f(−4)   for
 -1\end{cases}">f(x) ={5x if x≤−1x−3 if x>−1f(x) = \begin{cases}5 x & 	ext { if } x \leq-1 \ x-3 & 	ext { if } x>-1\end{cases}f(x) ={5xx−3​ if x≤−1 if x>−1​

Accepted Answer

A)   -7
B)   20
C)   -20
D)   1

Question 2

Evaluate the function.
-Find  f(−1) f(-1) f(−1)   when  f(x) =x2−3x−1f(x) =x^{2}-3 x-1f(x) =x2−3x−1

Accepted Answer

A)   -1
B)   3
C)   5
D)   -3

Question 3

Solve the problem.
-A lumber yard has fixed costs of  $1730.30\$ 1730.30$1730.30  a day and variable costs of  $1.00\$ 1.00$1.00  per board - foot produced. The company gets  $2.30\$ 2.30$2.30  per board-foot sold. How many board - feet must be produced daily to reach the break-even point?

Accepted Answer

A)   887 board-feet
B)   1331 board-feet
C)   524 board-feet
D)   1730 board-feet

Question 4

Solve the problem.
-John owns a hotdog stand. His profit is represented by the equation  P=−x2+14x+59P=-x^{2}+14 x+59P=−x2+14x+59 , with  PPP  being profits and  xxx  the number of hotdogs. What is the most he can earn?

Accepted Answer

A)    $150\$ 150$150 
B)    $49\$ 49$49 
C)    $87\$ 87$87 
D)    $108\$ 108$108

Question 5

Graph the rational function.
- f(x) =(x+2) (x−3) (x−4) 2f(x) =\frac{(x+2) (x-3) }{(x-4) ^{2}}f(x) =(x−4) 2(x+2) (x−3) ​

Accepted Answer

A)    
B)    
C)    
D)

Question 6

Determine the vertex of the parabola.
- y=(x+1) 2y=(x+1) ^{2}y=(x+1) 2

Accepted Answer

A)    (0,−1) (0,-1) (0,−1)  
B)    (−1,0) (-1,0) (−1,0)  
C)    (1,0) (1,0) (1,0)  
D)    (0,1) (0,1) (0,1)

Question 7

Give the equation of the vertical asymptote(s)  of the rational function.
- g(x) =43x+5g(x) =\frac{4}{3 x+5}g(x) =3x+54​

Accepted Answer

A)    x=−53x=-\frac{5}{3}x=−35​ 
B)    x=53x=\frac{5}{3}x=35​ 
C)    y=−53\mathrm{y}=-\frac{5}{3}y=−35​ 
D)    x=−35x=-\frac{3}{5}x=−53​

Question 8

Solve the problem.
-A house was purchased for  $80,000\$ 80,000$80,000 . After 6 years the value of the house was  $134,000\$ 134,000$134,000 . Assume that the appreciation in value is given by a linear equation. Find the equation.

Accepted Answer

A)    y=80,000+9000xy=80,000+9000 xy=80,000+9000x 
B)    y=9000xy=9000 xy=9000x 
C)    y=134,000\mathrm{y}=134,000y=134,000 
D)    y=80,000+6xy=80,000+6 xy=80,000+6x

Question 9

Solve the problem.
-Bob owns a watch repair shop. He has found that the weekly cost (in dollars)  of operating his shop is given by
 c(x) =2x2−58x+40c(x) =2 x^{2}-58 x+40c(x) =2x2−58x+40 
Where  xxx  is the number of watches repaired. What is the cost of operating the shop if the number of watches repaired is 39 ?

Accepted Answer

A)    $3862\$ 3862$3862 
B)    $780\$ 780$780 
C)    $820\$ 820$820 
D)    $3024\$ 3024$3024

Question 10

Solve the problem.
-At a manufacturing plant, the total cost (in dollars)  to produce  xxx  items is
 C(x) =2.3x+2970C(x) =2.3 x+2970C(x) =2.3x+2970 .
What is the total cost to produce 2560 items?

Accepted Answer

A)    $7608\$ 7608$7608 
B)    $10,578\$ 10,578$10,578 
C)    $8858\$ 8858$8858 
D)    $11,458\$ 11,458$11,458

Question 11

Solve the problem.
-The graph of a function is given below. Tell whether the graph could possibly be the graph of a polynomial function. If it could be the graph of a polynomial function, tell which of the following are possible degrees for the polynomial function: 3, 4, 5, 6 .

Accepted Answer

A)   yes; 3,5
B)   yes; 5 only
C)   no
D)   yes; 5,6

Question 12

For the given function, find  f(x+h) −f(x) h\frac{f(x+h) -f(x) }{h}hf(x+h) −f(x) ​ .
- x2+2x^{2}+2x2+2

Accepted Answer

A)    2x+h2 x+h2x+h 
B)    h+4h\frac{h+4}{h}hh+4​ 
C)    2x+h+42 x+h+42x+h+4 
D)   1

Question 13

Determine whether the following rule defines $y$ as a function of $x$.
-$x=|y-3|$

Accepted Answer

A) True 
 B)False

Question 14

State whether the parabola opens upward or downward.
- f(x) =−3x2+7x+4f(x) =-3 x^{2}+7 x+4f(x) =−3x2+7x+4

Accepted Answer

A)   Upward
B)   Downward

Question 15

Graph.
- f(x) =5(x+2) 2+3f(x) =5(x+2) ^{2}+3f(x) =5(x+2) 2+3

Accepted Answer

A)    
B)    
C)    
D)

Question 16

Use the graph to solve the problem.
-In one city, the temperature in Fahrenheit on a typical summer day can be approximated by the following function:
 f(x) ={53+3.8t if 0≤t≤779.6 if 7<t≤10−5.4t+133.6 if 10<t≤15f(x) = \begin{cases}53+3.8 t & 	ext { if } 0 \leq t \leq 7 \ 79.6 & 	ext { if } 7<t \leq 10 \ -5.4 t+133.6 & 	ext { if } 10<t \leq 15\end{cases}f(x) =⎩⎨⎧​53+3.8t79.6−5.4t+133.6​ if 0≤t≤7 if 7<t≤10 if 10<t≤15​ 
Here,  ttt  represents the number of hours since 6 a.m. The graph of this function is shown below. At what time does it start to get cooler?

Accepted Answer

A)   At 10 a.m.
B)   At 4 p.m.
C)   At 1 p.m.
D)   At 3 p.m.

Question 17

Use a graphing calculator to construct a table of values for the given function.
-Use a graphing calculator to display a table showing the (approximate)  values of the function  f(x) =x3−5x2−5xf(x) =x^{3}-5 x^{2}-5 xf(x) =x3−5x2−5x  at  4.3,4.7,5.1,5.5,5.9,6.34.3,4.7,5.1,5.5,5.9,6.34.3,4.7,5.1,5.5,5.9,6.3 .

Accepted Answer

A)   
B)    
C)    
D)

Question 18

Find the appropriate linear cost or revenue function.
-Find the cost function given the following information. Fixed cost:  $230\$ 230$230 ; marginal cost per item:  $37\$ 37$37

Accepted Answer

A)    C(x) =230x−37C(x) =230 x-37C(x) =230x−37 
B)    C(x) =230x+37C(x) =230 x+37C(x) =230x+37 
C)    C(x) =37x+230C(x) =37 x+230C(x) =37x+230 
D)    C(x) =37x−230C(x) =37 x-230C(x) =37x−230

Question 19

Solve the problem.
-Given the following revenue and cost functions, find the  xxx -value that makes profit a maximum. (Recall that profit equals revenue minus cost.) 
 R(x) =58x−2x2;C(x) =24x+92R(x) =58 x-2 x^{2} ; C(x) =24 x+92R(x) =58x−2x2;C(x) =24x+92

Accepted Answer

A)   9.5
B)   8.5
C)   14.5
D)   17

Question 20

Solve the problem.
-The graph of a function is given below. Tell whether the graph could possibly be the graph of a polynomial function. If it could be the graph of a polynomial function, tell which of the following are possible degrees for the polynomial function: 3, 4, 5, 6 .

Accepted Answer

A)   yes; 5,6
B)   yes; 4,6
C)   yes; 6 only
D)   no

Exam 3: Functions and Graphs

Determine whether the following rule defines $y$ as a function of $x$ . - $x=|y-3|$

Correct Answer
verified

Solve the problem. -At a manufacturing plant, the total cost (in dollars) to produce $x$ items is $C(x) =2.3 x+2970$ . What is the total cost to produce 2560 items?

Correct Answer
verified

State whether the parabola opens upward or downward. - $f(x) =-3 x^{2}+7 x+4$

Correct Answer
verified

Solve the problem. -A house was purchased for $\$ 80,000$ . After 6 years the value of the house was $\$ 134,000$ . Assume that the appreciation in value is given by a linear equation. Find the equation.

Correct Answer
verified

Solve the problem. -The graph of a function is given below. Tell whether the graph could possibly be the graph of a polynomial function. If it could be the graph of a polynomial function, tell which of the following are possible degrees for the polynomial function: 3, 4, 5, 6 .

Correct Answer
verified

Correct Answer
verified

Solve the problem. -Given the following revenue and cost functions, find the $x$ -value that makes profit a maximum. (Recall that profit equals revenue minus cost.) $R(x) =58 x-2 x^{2} ; C(x) =24 x+92$

Correct Answer
verified

Solve the problem. -The graph of a function is given below. Tell whether the graph could possibly be the graph of a polynomial function. If it could be the graph of a polynomial function, tell which of the following are possible degrees for the polynomial function: 3, 4, 5, 6 .

Correct Answer
verified

Graph. - $f(x) =5(x+2) ^{2}+3$ $Graph. - f(x) =5(x+2) ^{2}+3 A) B) C) D)$

Correct Answer
verified

Use a graphing calculator to construct a table of values for the given function. -Use a graphing calculator to display a table showing the (approximate) values of the function $f(x) =x^{3}-5 x^{2}-5 x$ at $4.3,4.7,5.1,5.5,5.9,6.3$ .

Correct Answer
verified

Evaluate the function. -Find $f(-1)$ when $f(x) =x^{2}-3 x-1$

Correct Answer
verified

Solve the problem. -Find $f(-4)$ for $f(x) = \begin{cases}5 x & \text { if } x \leq-1 \\ x-3 & \text { if } x>-1\end{cases}$

Correct Answer
verified

Solve the problem. -Bob owns a watch repair shop. He has found that the weekly cost (in dollars) of operating his shop is given by $c(x) =2 x^{2}-58 x+40$ Where $x$ is the number of watches repaired. What is the cost of operating the shop if the number of watches repaired is 39 ?

Correct Answer
verified

Solve the problem. -John owns a hotdog stand. His profit is represented by the equation $P=-x^{2}+14 x+59$ , with $P$ being profits and $x$ the number of hotdogs. What is the most he can earn?

Correct Answer
verified

Give the equation of the vertical asymptote(s) of the rational function. - $g(x) =\frac{4}{3 x+5}$

Correct Answer
verified

Graph the rational function. - $f(x) =\frac{(x+2) (x-3) }{(x-4) ^{2}}$ $Graph the rational function. - f(x) =\frac{(x+2) (x-3) }{(x-4) ^{2}} A) B) C) D)$

Correct Answer
verified

Solve the problem. -A lumber yard has fixed costs of $\$ 1730.30$ a day and variable costs of $\$ 1.00$ per board - foot produced. The company gets $\$ 2.30$ per board-foot sold. How many board - feet must be produced daily to reach the break-even point?

Correct Answer
verified

For the given function, find $\frac{f(x+h) -f(x) }{h}$ . - $x^{2}+2$

Correct Answer
verified

Find the appropriate linear cost or revenue function. -Find the cost function given the following information. Fixed cost: $\$ 230$ ; marginal cost per item: $\$ 37$

Correct Answer
verified

Determine the vertex of the parabola. - $y=(x+1) ^{2}$

Correct Answer
verified

Exam 3: Functions and Graphs

Determine whether the following rule defines yyy as a function of xxx . - x=∣y−3∣x=|y-3|x=∣y−3∣

Correct AnswerverifiedShow Answer

Solve the problem. -At a manufacturing plant, the total cost (in dollars) to produce xxx items is C(x) =2.3x+2970C(x) =2.3 x+2970C(x) =2.3x+2970 . What is the total cost to produce 2560 items?

Correct AnswerverifiedShow Answer

State whether the parabola opens upward or downward. - f(x) =−3x2+7x+4f(x) =-3 x^{2}+7 x+4f(x) =−3x2+7x+4

Correct AnswerverifiedShow Answer

Solve the problem. -A house was purchased for $80,000\$ 80,000$80,000 . After 6 years the value of the house was $134,000\$ 134,000$134,000 . Assume that the appreciation in value is given by a linear equation. Find the equation.

Correct AnswerverifiedShow Answer

Solve the problem. -The graph of a function is given below. Tell whether the graph could possibly be the graph of a polynomial function. If it could be the graph of a polynomial function, tell which of the following are possible degrees for the polynomial function: 3, 4, 5, 6 .

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Solve the problem. -Given the following revenue and cost functions, find the xxx -value that makes profit a maximum. (Recall that profit equals revenue minus cost.) R(x) =58x−2x2;C(x) =24x+92R(x) =58 x-2 x^{2} ; C(x) =24 x+92R(x) =58x−2x2;C(x) =24x+92

Correct AnswerverifiedShow Answer

Solve the problem. -The graph of a function is given below. Tell whether the graph could possibly be the graph of a polynomial function. If it could be the graph of a polynomial function, tell which of the following are possible degrees for the polynomial function: 3, 4, 5, 6 .

Correct AnswerverifiedShow Answer

Graph. - f(x) =5(x+2) 2+3f(x) =5(x+2) ^{2}+3f(x) =5(x+2) 2+3

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Evaluate the function. -Find f(−1) f(-1) f(−1) when f(x) =x2−3x−1f(x) =x^{2}-3 x-1f(x) =x2−3x−1

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Solve the problem. -Find f(−4) f(-4) f(−4) for f(x) ={5x if x≤−1x−3 if x>−1f(x) = \begin{cases}5 x & \text { if } x \leq-1 \\ x-3 & \text { if } x>-1\end{cases}f(x) ={5xx−3​ if x≤−1 if x>−1​

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Solve the problem. -John owns a hotdog stand. His profit is represented by the equation P=−x2+14x+59P=-x^{2}+14 x+59P=−x2+14x+59 , with PPP being profits and xxx the number of hotdogs. What is the most he can earn?

Correct AnswerverifiedShow Answer

Give the equation of the vertical asymptote(s) of the rational function. - g(x) =43x+5g(x) =\frac{4}{3 x+5}g(x) =3x+54​

Correct AnswerverifiedShow Answer

Graph the rational function. - f(x) =(x+2) (x−3) (x−4) 2f(x) =\frac{(x+2) (x-3) }{(x-4) ^{2}}f(x) =(x−4) 2(x+2) (x−3) ​

Correct AnswerverifiedShow Answer

Solve the problem. -A lumber yard has fixed costs of $1730.30\$ 1730.30$1730.30 a day and variable costs of $1.00\$ 1.00$1.00 per board - foot produced. The company gets $2.30\$ 2.30$2.30 per board-foot sold. How many board - feet must be produced daily to reach the break-even point?

Correct AnswerverifiedShow Answer

For the given function, find f(x+h) −f(x) h\frac{f(x+h) -f(x) }{h}hf(x+h) −f(x) ​ . - x2+2x^{2}+2x2+2

Correct AnswerverifiedShow Answer

Find the appropriate linear cost or revenue function. -Find the cost function given the following information. Fixed cost: $230\$ 230$230 ; marginal cost per item: $37\$ 37$37

Correct AnswerverifiedShow Answer

Determine the vertex of the parabola. - y=(x+1) 2y=(x+1) ^{2}y=(x+1) 2

Correct AnswerverifiedShow Answer

Determine whether the following rule defines $y$ as a function of $x$ . - $x=|y-3|$

Correct Answer
verified

Solve the problem. -At a manufacturing plant, the total cost (in dollars) to produce $x$ items is $C(x) =2.3 x+2970$ . What is the total cost to produce 2560 items?

Correct Answer
verified

State whether the parabola opens upward or downward. - $f(x) =-3 x^{2}+7 x+4$

Correct Answer
verified

Solve the problem. -A house was purchased for $\$ 80,000$ . After 6 years the value of the house was $\$ 134,000$ . Assume that the appreciation in value is given by a linear equation. Find the equation.

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Solve the problem. -Given the following revenue and cost functions, find the $x$ -value that makes profit a maximum. (Recall that profit equals revenue minus cost.) $R(x) =58 x-2 x^{2} ; C(x) =24 x+92$

Correct Answer
verified

Correct Answer
verified

Graph. - $f(x) =5(x+2) ^{2}+3$ $Graph. - f(x) =5(x+2) ^{2}+3 A) B) C) D)$

Correct Answer
verified

Correct Answer
verified

Evaluate the function. -Find $f(-1)$ when $f(x) =x^{2}-3 x-1$

Correct Answer
verified

Solve the problem. -Find $f(-4)$ for $f(x) = \begin{cases}5 x & \text { if } x \leq-1 \\ x-3 & \text { if } x>-1\end{cases}$

Correct Answer
verified

Correct Answer
verified

Solve the problem. -John owns a hotdog stand. His profit is represented by the equation $P=-x^{2}+14 x+59$ , with $P$ being profits and $x$ the number of hotdogs. What is the most he can earn?

Correct Answer
verified

Give the equation of the vertical asymptote(s) of the rational function. - $g(x) =\frac{4}{3 x+5}$

Correct Answer
verified

Graph the rational function. - $f(x) =\frac{(x+2) (x-3) }{(x-4) ^{2}}$ $Graph the rational function. - f(x) =\frac{(x+2) (x-3) }{(x-4) ^{2}} A) B) C) D)$

Correct Answer
verified

Solve the problem. -A lumber yard has fixed costs of $\$ 1730.30$ a day and variable costs of $\$ 1.00$ per board - foot produced. The company gets $\$ 2.30$ per board-foot sold. How many board - feet must be produced daily to reach the break-even point?

Correct Answer
verified

For the given function, find $\frac{f(x+h) -f(x) }{h}$ . - $x^{2}+2$

Correct Answer
verified

Find the appropriate linear cost or revenue function. -Find the cost function given the following information. Fixed cost: $\$ 230$ ; marginal cost per item: $\$ 37$

Correct Answer
verified

Determine the vertex of the parabola. - $y=(x+1) ^{2}$

Correct Answer
verified