Question 1

Find the value for the function.
-$\text { Find } f ( 8 ) \text { when } f ( x ) = \sqrt { x ^ { 2 } + 6 x }$

Accepted Answer

A)  $4 \sqrt { 7 }$ 
B)  $\sqrt { 42 }$ 
C)  $\sqrt { 70 }$ 
D)  10 
A)  $4 \sqrt { 7 }$ 
B)  $\sqrt { 42 }$ 
C)  $\sqrt { 70 }$ 
D)  10

Question 2

Match the function with the graph that best describes the situation.
-The amount of rainfall as a function of time, if the rain fell more and more softly.

Accepted Answer

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

Question 3

Determine algebraically whether the function is even, odd, or neither.
-f(x) = -2x2 + 9

Accepted Answer

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

Question 4

Solve the problem.
-If the force acting on an object stays the same, then the acceleration of the object is inversely proportional to its mass. If an object with a mass of 18 kilograms accelerates at a rate of 7 meters per second per second by a force,
Find the rate of acceleration of an object with a mass of 9 kilograms that is pulled by the same force.
Meters per second per second

Accepted Answer

A)  $$\frac { 7 } { 2 }$$ 
B)  12 meters per second per second 
C)  14 meters per second per second 
D)  7 meters per second per second 
A)  $$\frac { 7 } { 2 }$$ 
B)  12 meters per second per second 
C)  14 meters per second per second 
D)  7 meters per second per second

Question 5

Given the functi is the point (-1, 4) on the graph of f?
-$$f ( x ) = \frac { x ^ { 2 } + 2 } { x + 6 }$$ Given the functi , list the x-intercepts, if any, of the graph of f.

Accepted Answer

A)  (-6, 0) 
B)  (- 2, 0) 
C)  (2, 0), (-2, 0) 
D)  none 
A)  (-6, 0) 
B)  (- 2, 0) 
C)  (2, 0), (-2, 0) 
D)  none

Question 6

Find the domain of the function.
-$$f ( x ) = \sqrt { 9 - x }$$

Accepted Answer

A)  $\{ x \mid x \neq 9 \}$ 
B)  {x|x ≤9} 
C)  {x|x ≤3} 
D)  {x|x ≠3} 
A)  $\{ x \mid x \neq 9 \}$ 
B)  {x|x ≤9} 
C)  {x|x ≤3} 
D)  {x|x ≠3}

Question 7

Determine algebraically whether the function is even, odd, or neither.
-$$f ( x ) = \sqrt [ 3 ] { x }$$

Accepted Answer

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

Question 8

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: all real numbers 
Range: all real numbers 
Intercept: (0, -4)
Symmetry: none 
B)  function 
domain: all real numbers
range: {y|y = 5 or y = -4}
 intercept: (0, -4)
symmetry: none 
C)  function
domain: {x|x = 5 or x = -4}
Range: all real numbers
Intercept: (-4, 0)
Symmetry: x-axis 
D)  not a function 
A)  function
domain: all real numbers 
Range: all real numbers 
Intercept: (0, -4)
Symmetry: none 
B)  function 
domain: all real numbers
range: {y|y = 5 or y = -4}
 intercept: (0, -4)
symmetry: none 
C)  function
domain: {x|x = 5 or x = -4}
Range: all real numbers
Intercept: (-4, 0)
Symmetry: x-axis 
D)  not a function

Question 9

Match the correct function to the graph.
-

Accepted Answer

A)  $y = \sqrt { x - 1 }$ 
B)  $y = x - 1$ 
C)  $y = \sqrt { x }$ 
D)  $y = \sqrt { x + 1 }$ 
A)  $y = \sqrt { x - 1 }$ 
B)  $y = x - 1$ 
C)  $y = \sqrt { x }$ 
D)  $y = \sqrt { x + 1 }$

Question 10

Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
-$f ( x ) = \frac { 1 } { x + 5 } - 7$

Accepted Answer

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

Question 11

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.
-$f ( x ) = 0.15 x ^ { 4 } + 0.3 x ^ { 3 } - 0.8 x ^ { 2 } + 5 ; ( - 4,2 )$

Accepted Answer

local maximum at @#LAT-DLM&
lo

Question 12

For the function, find the average rate of change of f from 1 to x: $\frac { f ( x ) - f ( 1 ) } { x - 1 } , x \neq 1$
-$f ( x ) = \frac { 4 } { x + 3 }$

Accepted Answer

A)  $\frac { 4 } { x ( x + 3 ) }$ 
B)  $\frac { 4 } { ( x - 1 ) ( x + 3 ) }$ 
C)  $\frac { 1 } { x + 3 }$ 
D)  $- \frac { 1 } { x + 3 }$ 
A)  $\frac { 4 } { x ( x + 3 ) }$ 
B)  $\frac { 4 } { ( x - 1 ) ( x + 3 ) }$ 
C)  $\frac { 1 } { x + 3 }$ 
D)  $- \frac { 1 } { x + 3 }$

Question 13

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given
interval.
-(1, 5)

Accepted Answer

A)  constant 
B)  decreasing 
C)  increasing 
A)  constant 
B)  decreasing 
C)  increasing

Question 14

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

Accepted Answer

A)  20 
B)  8 
C)  22 
D)  11 5 
A)  20 
B)  8 
C)  22 
D)  11 5

Question 15

Determine whether the equation defines y as a function of x.
-$$y = \frac { 3 x - 4 } { x - 2 }$$

Accepted Answer

A)  function 
B)  not a function 
A)  function 
B)  not a function

Question 16

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

Accepted Answer

A)  $- 34$ 
B)  $\frac { 1 } { 2 }$ 
C)  $- 2$ 
D)  $- \frac { 1 } { 6 }$ 
A)  $- 34$ 
B)  $\frac { 1 } { 2 }$ 
C)  $- 2$ 
D)  $- \frac { 1 } { 6 }$

Question 17

Solve the problem.
-A rectangular box with volume 268 cubic feet is built with a square base and top. The cost is $1.50 per square foot for the top and the bottom and $2.00 per square foot for the sides. Let x represent the length of a side of the
Base. Express the cost the box as a function of x.

Accepted Answer

A)  $C ( x ) = 3 x ^ { 2 } + \frac { 1072 } { x }$ 
B)  $C ( x ) = 3 x ^ { 2 } + \frac { 2144 } { x }$ 
C)  $C ( x ) = 2 x ^ { 2 } + \frac { 2144 } { x }$ 
D)  $C ( x ) = 4 x + \frac { 2144 } { x ^ { 2 } }$ 
A)  $C ( x ) = 3 x ^ { 2 } + \frac { 1072 } { x }$ 
B)  $C ( x ) = 3 x ^ { 2 } + \frac { 2144 } { x }$ 
C)  $C ( x ) = 2 x ^ { 2 } + \frac { 2144 } { x }$ 
D)  $C ( x ) = 4 x + \frac { 2144 } { x ^ { 2 } }$

Question 18

Solve the problem.
-From a 18-inch by 18-inch piece of metal, squares are cut out of the four corners so that the sides can then be folded up to make a box. Let x represent the length of the sides of the squares, in inches, that are cut out. Express
The volume of the box as a function of x.

Accepted Answer

A)  $V ( x ) = 4 x ^ { 3 } - 72 x ^ { 2 }$ 
B)  $V ( x ) = 4 x ^ { 3 } - 72 x ^ { 2 } + 324 x$ 
C)  $V ( x ) = 2 x ^ { 3 } - 54 x ^ { 2 }$ 
D)  $V ( x ) = 2 x ^ { 3 } - 54 x ^ { 2 } + 18 x$ 
A)  $V ( x ) = 4 x ^ { 3 } - 72 x ^ { 2 }$ 
B)  $V ( x ) = 4 x ^ { 3 } - 72 x ^ { 2 } + 324 x$ 
C)  $V ( x ) = 2 x ^ { 3 } - 54 x ^ { 2 }$ 
D)  $V ( x ) = 2 x ^ { 3 } - 54 x ^ { 2 } + 18 x$

Question 19

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 minimum. What are the local maxima?

Accepted Answer

A)  f has a local maximum at x = -3.3 and -2.5; the local maximum at -3.3 is -2.5; the local maximum at -2.5 is 5 
B)  f has a local minimum at x = -3.3 and -2.5; the local minimum at -3.3 is -2.5; the local minimum at -2.5 is 5 
C)  f has a local minimum at x = -2.5 and 5; the local minimum at -2.5 is -3.3; the local minimum at 5 is -2.5 
D)  f has a local maximum at x = -2.5 and 5; the local maximum at -2.5 is -3.3; the local maximum at 5 is -2.5 
A)  f has a local maximum at x = -3.3 and -2.5; the local maximum at -3.3 is -2.5; the local maximum at -2.5 is 5 
B)  f has a local minimum at x = -3.3 and -2.5; the local minimum at -3.3 is -2.5; the local minimum at -2.5 is 5 
C)  f has a local minimum at x = -2.5 and 5; the local minimum at -2.5 is -3.3; the local minimum at 5 is -2.5 
D)  f has a local maximum at x = -2.5 and 5; the local maximum at -2.5 is -3.3; the local maximum at 5 is -2.5

Question 20

Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
-$( x ) = ( x + 7 ) ^ { 2 } + 4$

Accepted Answer

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

Find the value for the function. - $\text { Find } f ( 8 ) \text { when } f ( x ) = \sqrt { x ^ { 2 } + 6 x }$

Match the function with the graph that best describes the situation. -The amount of rainfall as a function of time, if the rain fell more and more softly.

Determine algebraically whether the function is even, odd, or neither. -f(x) = -2x² + 9

Given the functi is the point (-1, 4) on the graph of f? - $f ( x ) = \frac { x ^ { 2 } + 2 } { x + 6 }$ Given the functi , list the x-intercepts, if any, of the graph of f.

Find the domain of the function. - $f ( x ) = \sqrt { 9 - x }$

Determine algebraically whether the function is even, odd, or neither. - $f ( x ) = \sqrt [ 3 ] { x }$

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. -

Match the correct function to the graph. -

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. -(1, 5)

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

Determine whether the equation defines y as a function of x. - $y = \frac { 3 x - 4 } { x - 2 }$

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

Solve the problem. -A rectangular box with volume 268 cubic feet is built with a square base and top. The cost is $1.50 per square foot for the top and the bottom and $2.00 per square foot for the sides. Let x represent the length of a side of the Base. Express the cost the box as a function of x.

Solve the problem. -From a 18-inch by 18-inch piece of metal, squares are cut out of the four corners so that the sides can then be folded up to make a box. Let x represent the length of the sides of the squares, in inches, that are cut out. Express The volume of the box as a function of x.

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 minimum. What are the local maxima?

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

Find the value for the function. - Find f(8) when f(x)=x2+6x\text { Find } f ( 8 ) \text { when } f ( x ) = \sqrt { x ^ { 2 } + 6 x } Find f(8) when f(x)=x2+6x​

Match the function with the graph that best describes the situation. -The amount of rainfall as a function of time, if the rain fell more and more softly.

Determine algebraically whether the function is even, odd, or neither. -f(x) = -2x2 + 9

Given the functi is the point (-1, 4) on the graph of f? - f(x)=x2+2x+6f ( x ) = \frac { x ^ { 2 } + 2 } { x + 6 }f(x)=x+6x2+2​ Given the functi , list the x-intercepts, if any, of the graph of f.

Find the domain of the function. - f(x)=9−xf ( x ) = \sqrt { 9 - x }f(x)=9−x​

Determine algebraically whether the function is even, odd, or neither. - f(x)=x3f ( x ) = \sqrt [ 3 ] { x }f(x)=3x​

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. -

Match the correct function to the graph. -

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+5−7f ( x ) = \frac { 1 } { x + 5 } - 7f(x)=x+51​−7

For the function, find the average rate of change of f from 1 to x: f(x)−f(1)x−1,x≠1\frac { f ( x ) - f ( 1 ) } { x - 1 } , x \neq 1x−1f(x)−f(1)​,x=1 - f(x)=4x+3f ( x ) = \frac { 4 } { x + 3 }f(x)=x+34​

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. -(1, 5)

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

Determine whether the equation defines y as a function of x. - y=3x−4x−2y = \frac { 3 x - 4 } { x - 2 }y=x−23x−4​

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

Solve the problem. -A rectangular box with volume 268 cubic feet is built with a square base and top. The cost is $1.50 per square foot for the top and the bottom and $2.00 per square foot for the sides. Let x represent the length of a side of the Base. Express the cost the box as a function of x.

Solve the problem. -From a 18-inch by 18-inch piece of metal, squares are cut out of the four corners so that the sides can then be folded up to make a box. Let x represent the length of the sides of the squares, in inches, that are cut out. Express The volume of the box as a function of x.

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 minimum. What are the local maxima?

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - (x)=(x+7)2+4( x ) = ( x + 7 ) ^ { 2 } + 4(x)=(x+7)2+4

Linear and Quadratic Functions

Polynomial and Rational Functions

Conics

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Filters

Find the value for the function. - $\text { Find } f ( 8 ) \text { when } f ( x ) = \sqrt { x ^ { 2 } + 6 x }$

Determine algebraically whether the function is even, odd, or neither. -f(x) = -2x² + 9

Given the functi is the point (-1, 4) on the graph of f? - $f ( x ) = \frac { x ^ { 2 } + 2 } { x + 6 }$ Given the functi , list the x-intercepts, if any, of the graph of f.

Find the domain of the function. - $f ( x ) = \sqrt { 9 - x }$

Determine algebraically whether the function is even, odd, or neither. - $f ( x ) = \sqrt [ 3 ] { x }$

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

Determine whether the equation defines y as a function of x. - $y = \frac { 3 x - 4 } { x - 2 }$

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