Question 1

Given the functi is the point (-2, 1) on the graph of f?
-$$f ( x ) = \frac { x ^ { 2 } - 3 } { x + 3 }$$

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 2

Solve the problem.
-A retail store buys 225 VCRs from a distributor at a cost of $205 each plus an overhead charge of $20 per order. The retail markup is 40% on the total price paid. Find the profit on the sale of one VCR.

Accepted Answer

A)  $82.04 
B)  $82.00 
C)  $8204.00 
D)  $81.96 
A)  $82.04 
B)  $82.00 
C)  $8204.00 
D)  $81.96

Question 3

The graph of a function is given. Decide whether it is even, odd, or neither.
-

Accepted Answer

A)  even 
B)  odd 
C)  neither 
A)  even 
B)  odd 
C)  neither

Question 4

Graph the function.
-$f(x)=\left\{\begin{array}{ll}
-x+3 & \text { if } x<2 \
2 x-3 & \text { if } x \geq 2
\end{array}\right.$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 5

If y varies directly as x, find a linear function which relates them.
-y = 0.2 when x = 1.6

Accepted Answer

A)  f(x) = 8x 
B)  f(x) = 0.125x 
C)  f(x) = 0.2x 
D)  f(x) = x - 1.4 
A)  f(x) = 8x 
B)  f(x) = 0.125x 
C)  f(x) = 0.2x 
D)  f(x) = x - 1.4

Question 6

Graph the function.
-$f ( x ) = \sqrt { x }$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 7

For the graph of the function y = f(x), find the absolute maximum and the absolute minimum, if it exists.
-

Accepted Answer

A)  Absolute maximum: f(2) = 7; Absolute minimum: f(3) = 0 
B)  Absolute maximum: f(7) = 2; Absolute minimum: f(0) = 3 
C)  Absolute maximum: f(5) = 6; Absolute minimum: f(2) = 1 
D)  Absolute maximum: f(6) = 5; Absolute minimum: f(1) = 2 
A)  Absolute maximum: f(2) = 7; Absolute minimum: f(3) = 0 
B)  Absolute maximum: f(7) = 2; Absolute minimum: f(0) = 3 
C)  Absolute maximum: f(5) = 6; Absolute minimum: f(2) = 1 
D)  Absolute maximum: f(6) = 5; Absolute minimum: f(1) = 2

Question 8

If y varies directly as x, find a linear function which relates them.
-y = 8 when x = 24

Accepted Answer

A)  $f ( x ) = \frac { x } { 3 }$ 
B)  $f ( x ) = x + 16$ 
C)  $f ( x ) = \frac { x } { 8 }$ 
D)  $f ( x ) = 3 x$ 
A)  $f ( x ) = \frac { x } { 3 }$ 
B)  $f ( x ) = x + 16$ 
C)  $f ( x ) = \frac { x } { 8 }$ 
D)  $f ( x ) = 3 x$

Question 9

The graph of a function f is given. Use the graph to answer the question.
-Find the numbers, if any, at which f has a local maximum. What are the local maxima?

Accepted Answer

A)  f has a local maximum at -; the local maximum is 2 
B)  f has a local maximum at x =  and ; the local maximum is 2 
C)  f has no local maximum 
D)  f has a local maximum at x = 0; the local maximum is -2 
A)  f has a local maximum at -; the local maximum is 2 
B)  f has a local maximum at x =  and ; the local maximum is 2 
C)  f has no local maximum 
D)  f has a local maximum at x = 0; the local maximum is -2

Question 10

Match the graph to the function listed whose graph most resembles the one given.
-

Accepted Answer

A)  cube root function 
B)  square root function 
C)  cube function 
D)  square function 
A)  cube root function 
B)  square root function 
C)  cube function 
D)  square function

Question 11

Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function.
-f(x) + 10

Accepted Answer

A)  (2, -10) 
B)  (2, 14) 
C)  (12, 4) 
D)  (-8, 4) 
A)  (2, -10) 
B)  (2, 14) 
C)  (12, 4) 
D)  (-8, 4)

Question 12

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two
decimal places.
-$f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 1 , ( - 1,3 )$

Accepted Answer

A) local maximum at (2, -3)
local minimum at (0, 1)
increasing on (-1, 0)
decreasing on (0, 2) 
B) local maximum at (0, 1)
local minimum at (2, -3)
increasing on (-1, 0) and (2, 3)
decreasing on (0, 2) 
C) local maximum at (2, -3)
local minimum at (0, 1)
increasing on (-1, 0) and (2, 3)
decreasing on (0, 2) 
D) local maximum at (0, 1)
local minimum at (2, -3)
increasing on (0, 2)
decreasing on (-1, 0) and (2, 3) 
A) local maximum at (2, -3)
local minimum at (0, 1)
increasing on (-1, 0)
decreasing on (0, 2) 
B) local maximum at (0, 1)
local minimum at (2, -3)
increasing on (-1, 0) and (2, 3)
decreasing on (0, 2) 
C) local maximum at (2, -3)
local minimum at (0, 1)
increasing on (-1, 0) and (2, 3)
decreasing on (0, 2) 
D) local maximum at (0, 1)
local minimum at (2, -3)
increasing on (0, 2)
decreasing on (-1, 0) and (2, 3)

Question 13

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two
decimal places.
-$f ( x ) = - 0.3 x ^ { 3 } + 0.2 x ^ { 2 } + 4 x - 5 ; ( - 4,5 )$

Accepted Answer

local maximum at @#LAT-DLM&
lo

Question 14

Solve the problem.
-The gravitational attraction A between two masses varies inversely as the square of the distance between them. The force of attraction is 2.25 lb when the masses are 4 ft apart, what is the attraction when the masses are 6 ft
Apart?

Accepted Answer

A)  1 lb 
B)  2 lb 
C)  4 lb 
D)  3 lb 
A)  1 lb 
B)  2 lb 
C)  4 lb 
D)  3 lb

Question 15

Solve the problem.
-Jacey, a commissioned salesperson, earns $180 base pay plus $47 per item sold. Express Jacey's gross salary G as a function of the number x of items sold.

Accepted Answer

A)  $G ( x ) = 180 x + 47$ 
B)  $G ( x ) = 47 ( x + 180 )$ 
C)  $G ( x ) = 180 ( x + 47 )$ 
D)  $G ( x ) = 47 x + 180$ 
A)  $G ( x ) = 180 x + 47$ 
B)  $G ( x ) = 47 ( x + 180 )$ 
C)  $G ( x ) = 180 ( x + 47 )$ 
D)  $G ( x ) = 47 x + 180$

Question 16

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin.
-

Accepted Answer

A)  function
domain: {x|-2 ≤ x ≤2} 
Range: all real numbers 
Intercepts: (-2, 0), (2, 0) 
Symmetry: x-axis, y-axis 
B)  function
 domain: all real numbers
range: {y|y ≤-2 or y ≥ 2}
intercepts: (-2, 0), (2, 0)
symmetry: y-axis 
C)  function
domain: {x|x ≤-2 or x ≥ 2}
Range: all real numbers
Intercepts: (-2, 0), (2, 0)
Symmetry: x-axis, y-axis, origin 
D)  not a function 
A)  function
domain: {x|-2 ≤ x ≤2} 
Range: all real numbers 
Intercepts: (-2, 0), (2, 0) 
Symmetry: x-axis, y-axis 
B)  function
 domain: all real numbers
range: {y|y ≤-2 or y ≥ 2}
intercepts: (-2, 0), (2, 0)
symmetry: y-axis 
C)  function
domain: {x|x ≤-2 or x ≥ 2}
Range: all real numbers
Intercepts: (-2, 0), (2, 0)
Symmetry: x-axis, y-axis, origin 
D)  not a function

Question 17

Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
-$f ( x ) = \frac { 1 } { x + 1 }$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 18

Find the value for the function.
-$$\text { Find } f ( 1 ) \text { when } f ( x ) = x ^ { 2 } - 5 x - 2$$

Accepted Answer

A)  -6 
B)  8 
C)  -2 
D)  4 
A)  -6 
B)  8 
C)  -2 
D)  4

Question 19

The graph of a function is given. Decide whether it is even, odd, or neither.
-

Accepted Answer

A)  even 
B)  odd 
C)  neither 
A)  even 
B)  odd 
C)  neither

Question 20

Find the average rate of change for the function between the given values.
-$f ( x ) = 1 x ^ { 3 } + 5 x ^ { 2 } + 8 ; \text { from } - 6 \text { to } 6$

Accepted Answer

A)  36 
B)  $\frac { 101 } { 3 }$ 
C)  $\frac { 202 } { 3 }$ 
D)  72 
A)  36 
B)  $\frac { 101 } { 3 }$ 
C)  $\frac { 202 } { 3 }$ 
D)  72

Given the functi is the point (-2, 1) on the graph of f? - $f ( x ) = \frac { x ^ { 2 } - 3 } { x + 3 }$

Solve the problem. -A retail store buys 225 VCRs from a distributor at a cost of $205 each plus an overhead charge of $20 per order. The retail markup is 40% on the total price paid. Find the profit on the sale of one VCR.

The graph of a function is given. Decide whether it is even, odd, or neither. -

Graph the function. - $f(x)=\left\{\begin{array}{ll}-x+3 & \text { if } x<2 \\2 x-3 & \text { if } x \geq 2\end{array}\right.$ $Graph the function. - f(x)=\left\{\begin{array}{ll} -x+3 & \text { if } x<2 \\ 2 x-3 & \text { if } x \geq 2 \end{array}\right.$

If y varies directly as x, find a linear function which relates them. -y = 0.2 when x = 1.6

Graph the function. - $f ( x ) = \sqrt { x }$ $Graph the function. - f ( x ) = \sqrt { x }$

For the graph of the function y = f(x), find the absolute maximum and the absolute minimum, if it exists. -

If y varies directly as x, find a linear function which relates them. -y = 8 when x = 24

The graph of a function f is given. Use the graph to answer the question. -Find the numbers, if any, at which f has a local maximum. What are the local maxima?

Match the graph to the function listed whose graph most resembles the one given. -

Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function. -f(x) + 10

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two decimal places. - $f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 1 , ( - 1,3 )$

Solve the problem. -The gravitational attraction A between two masses varies inversely as the square of the distance between them. The force of attraction is 2.25 lb when the masses are 4 ft apart, what is the attraction when the masses are 6 ft Apart?

Solve the problem. -Jacey, a commissioned salesperson, earns $180 base pay plus $47 per item sold. Express Jacey's gross salary G as a function of the number x of items sold.

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin. -

Find the value for the function. - $\text { Find } f ( 1 ) \text { when } f ( x ) = x ^ { 2 } - 5 x - 2$

The graph of a function is given. Decide whether it is even, odd, or neither. -

Find the average rate of change for the function between the given values. - $f ( x ) = 1 x ^ { 3 } + 5 x ^ { 2 } + 8 ; \text { from } - 6 \text { to } 6$

Linear and Quadratic Functions

Polynomial and Rational Functions

Conics

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Filters

Exam 1: Functions and Their Graphs

Given the functi is the point (-2, 1) on the graph of f? - f(x)=x2−3x+3f ( x ) = \frac { x ^ { 2 } - 3 } { x + 3 }f(x)=x+3x2−3​

Solve the problem. -A retail store buys 225 VCRs from a distributor at a cost of $205 each plus an overhead charge of $20 per order. The retail markup is 40% on the total price paid. Find the profit on the sale of one VCR.

The graph of a function is given. Decide whether it is even, odd, or neither. -

Graph the function. - f(x)={−x+3 if x<22x−3 if x≥2f(x)=\left\{\begin{array}{ll}-x+3 & \text { if } x<2 \\2 x-3 & \text { if } x \geq 2\end{array}\right.f(x)={−x+32x−3​ if x<2 if x≥2​

If y varies directly as x, find a linear function which relates them. -y = 0.2 when x = 1.6

Graph the function. - f(x)=xf ( x ) = \sqrt { x }f(x)=x​

For the graph of the function y = f(x), find the absolute maximum and the absolute minimum, if it exists. -

If y varies directly as x, find a linear function which relates them. -y = 8 when x = 24

The graph of a function f is given. Use the graph to answer the question. -Find the numbers, if any, at which f has a local maximum. What are the local maxima?

Match the graph to the function listed whose graph most resembles the one given. -

Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function. -f(x) + 10

Solve the problem. -The gravitational attraction A between two masses varies inversely as the square of the distance between them. The force of attraction is 2.25 lb when the masses are 4 ft apart, what is the attraction when the masses are 6 ft Apart?

Solve the problem. -Jacey, a commissioned salesperson, earns $180 base pay plus $47 per item sold. Express Jacey's gross salary G as a function of the number x of items sold.

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin. -

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f(x)=1x+1f ( x ) = \frac { 1 } { x + 1 }f(x)=x+11​

Find the value for the function. - Find f(1) when f(x)=x2−5x−2\text { Find } f ( 1 ) \text { when } f ( x ) = x ^ { 2 } - 5 x - 2 Find f(1) when f(x)=x2−5x−2

The graph of a function is given. Decide whether it is even, odd, or neither. -

Find the average rate of change for the function between the given values. - f(x)=1x3+5x2+8; from −6 to 6f ( x ) = 1 x ^ { 3 } + 5 x ^ { 2 } + 8 ; \text { from } - 6 \text { to } 6f(x)=1x3+5x2+8; from −6 to 6

Linear and Quadratic Functions

Polynomial and Rational Functions

Conics

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Filters

Given the functi is the point (-2, 1) on the graph of f? - $f ( x ) = \frac { x ^ { 2 } - 3 } { x + 3 }$

Graph the function. - $f(x)=\left\{\begin{array}{ll}-x+3 & \text { if } x<2 \\2 x-3 & \text { if } x \geq 2\end{array}\right.$ $Graph the function. - f(x)=\left\{\begin{array}{ll} -x+3 & \text { if } x<2 \\ 2 x-3 & \text { if } x \geq 2 \end{array}\right.$

Graph the function. - $f ( x ) = \sqrt { x }$ $Graph the function. - f ( x ) = \sqrt { x }$

Find the value for the function. - $\text { Find } f ( 1 ) \text { when } f ( x ) = x ^ { 2 } - 5 x - 2$

Find the average rate of change for the function between the given values. - $f ( x ) = 1 x ^ { 3 } + 5 x ^ { 2 } + 8 ; \text { from } - 6 \text { to } 6$