Question 1

Determine whether the equation defines y as a function of x.
-$$y ^ { 2 } + x = 5$$

Accepted Answer

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

Question 2

Solve the problem.
-One Internet service provider has the following rate schedule for high-speed Internet service:
Monthly service charge $18.00
1st 50 hours of use free
Next 50 hours of use $0.25/hour
Over 100 hours of use $1.00/hour
What is the charge for 50 hours of high-speed Internet use in one month?
What is the charge for 75 hours of high-speed Internet use in one month?
What is the charge for 135 hours of high-speed Internet use in one month?

Accepted Answer

$18.00
$24

Question 3

Solve the problem.
-When the temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 204 cubic inches of a gas at a pressure of 14 pounds per square inch, find the new
Pressure of the gas if the volume is decreased to 68 cubic inches.

Accepted Answer

A)  39 pounds per square inch 
B)  28 pounds per square inch 
C)  42 pounds per square inch 
D)  $$\frac { 34 } { 7 }$$
Pounds per square inch 
A)  39 pounds per square inch 
B)  28 pounds per square inch 
C)  42 pounds per square inch 
D)  $$\frac { 34 } { 7 }$$
Pounds per square inch

Question 4

For the given functions f and g, find the requested function and state its domain.
-$f ( x ) = 16 - x ^ { 2 } ; g ( x ) = 4 - x$
Find $f + g$.

Accepted Answer

A)  $( f + g ) ( x ) = - x ^ { 2 } - x + 20 ; \{ x \mid x \neq 4 , x \neq - 5 \}$ 
B)  $( f + g ) ( x ) = 4 + x ; \{ x \mid x \neq - 4 \}$ 
C)  $( f + g ) ( x ) = - x ^ { 2 } + x + 12 ;$ all real numbers 
D)  $( f + g ) ( x ) = x ^ { 3 } - 4 x ^ { 2 } - 16 x + 64$; all real numbers 
A)  $( f + g ) ( x ) = - x ^ { 2 } - x + 20 ; \{ x \mid x \neq 4 , x \neq - 5 \}$ 
B)  $( f + g ) ( x ) = 4 + x ; \{ x \mid x \neq - 4 \}$ 
C)  $( f + g ) ( x ) = - x ^ { 2 } + x + 12 ;$ all real numbers 
D)  $( f + g ) ( x ) = x ^ { 3 } - 4 x ^ { 2 } - 16 x + 64$; all real numbers

Question 5

Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function.
-The reflection of the graph of y = f(x) across the x-axis

Accepted Answer

A)  (-2, -4) 
B)  (2, 4) 
C)  (2, -4) 
D)  (-2, 4) 
A)  (-2, -4) 
B)  (2, 4) 
C)  (2, -4) 
D)  (-2, 4)

Question 6

Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
-$f ( x ) = ( x + 1 ) ^ { 2 }$

Accepted Answer

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

Question 7

Solve the problem.
-A right triangle has one vertex on the graph of $$y = x ^ { 2 } \text { at } ( x , y ),$$ another at the origin, and the third on the
(positive) y-axis at (0, y). Express the area A of the triangle as a function of x.

Accepted Answer

The answer of Solve the problem.
-A right triangle has one...

Question 8

Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
-$f ( x ) = | x |-4$

Accepted Answer

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

Question 9

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 10

The graph of a function f is given. Use the graph to answer the question.
-Is f(8) positive or negative?

Accepted Answer

A)  positive 
B)  negative 
A)  positive 
B)  negative

Question 11

Determine algebraically whether the function is even, odd, or neither.
-$$f ( x ) = \frac { - x ^ { 3 } } { 7 x ^ { 2 } + 5 }$$

Accepted Answer

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

Question 12

Determine whether the equation defines y as a function of x.
-$$y = \frac { 1 } { x }$$

Accepted Answer

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

Question 13

Graph the function.
-$f ( x ) = x ^ { 3 }$

Accepted Answer

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

Question 14

Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
-$f(x)=\frac{1}{6} x^{3}$

Accepted Answer

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

Question 15

The graph of a function f is given. Use the graph to answer the question.
-What are the x-intercepts?

Accepted Answer

A)  -6 
B)  -6, 7 
C)  -6, 7, 10 
D)  -10, -6, 7, 10 
A)  -6 
B)  -6, 7 
C)  -6, 7, 10 
D)  -10, -6, 7, 10

Question 16

Find an equation of the secant line containing (1, f(1)) and (2, f(2)).
-$f ( x ) = \sqrt { x + 48 }$

Accepted Answer

A)  $y = ( - 5 \sqrt { 2 } - 7 ) x - 5 \sqrt { 2 } + 14$ 
B)  $y = ( 5 \sqrt { 2 } - 7 ) x - 5 \sqrt { 2 } + 14$ 
C)  $y = ( - 5 \sqrt { 2 } + 7 ) x + 5 \sqrt { 2 } - 14$ 
D)  $y = ( 5 \sqrt { 2 } - 7 ) x + 5 \sqrt { 2 } - 14$ 
A)  $y = ( - 5 \sqrt { 2 } - 7 ) x - 5 \sqrt { 2 } + 14$ 
B)  $y = ( 5 \sqrt { 2 } - 7 ) x - 5 \sqrt { 2 } + 14$ 
C)  $y = ( - 5 \sqrt { 2 } + 7 ) x + 5 \sqrt { 2 } - 14$ 
D)  $y = ( 5 \sqrt { 2 } - 7 ) x + 5 \sqrt { 2 } - 14$

Question 17

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: {y|y > 0} 
Intercept: (1, 0) 
Symmetry: none 
B)  function 
domain: {x|x > 0}
range: all real numbers
intercept: (0, 1)
symmetry: origin 
C)  function
domain: {x|x > 0}
Range: all real numbers
Intercept: (1, 0)
Symmetry: none 
D)  not a function 
A)  function
domain: all real numbers 
Range: {y|y > 0} 
Intercept: (1, 0) 
Symmetry: none 
B)  function 
domain: {x|x > 0}
range: all real numbers
intercept: (0, 1)
symmetry: origin 
C)  function
domain: {x|x > 0}
Range: all real numbers
Intercept: (1, 0)
Symmetry: none 
D)  not a function

Question 18

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 minima?

Accepted Answer

A)  f has a local minimum at x = 0; the local minimum is 3 
B)  f has a local minimum at x = -3 and 3; the local minimum is 0 
C)  f has a local minimum at x = -3; the local minimum is 0 
D)  f has no local minimum 
A)  f has a local minimum at x = 0; the local minimum is 3 
B)  f has a local minimum at x = -3 and 3; the local minimum is 0 
C)  f has a local minimum at x = -3; the local minimum is 0 
D)  f has no local minimum

Question 19

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

Accepted Answer

A)  absolute value function 
B)  square function 
C)  reciprocal function 
D)  square root function 
A)  absolute value function 
B)  square function 
C)  reciprocal function 
D)  square root function

Question 20

Answer the question about the given function.
-Given the functi $$f ( x ) = 6 x ^ { 2 } - 12 x - 8$$ is the point (1, -14) on the graph of f?

Accepted Answer

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

Determine whether the equation defines y as a function of x. - $y ^ { 2 } + x = 5$

For the given functions f and g, find the requested function and state its domain. - $f ( x ) = 16 - x ^ { 2 } ; g ( x ) = 4 - x$ Find $f + g$ .

Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function. -The reflection of the graph of y = f(x) across the x-axis

Solve the problem. -A right triangle has one vertex on the graph of $y = x ^ { 2 } \text { at } ( x , y ),$ another at the origin, and the third on the (positive) y-axis at (0, y). Express the area A of the triangle as a function of x.

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - $f ( x ) = | x |-4$

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

The graph of a function f is given. Use the graph to answer the question. -Is f(8) positive or negative?

Determine algebraically whether the function is even, odd, or neither. - $f ( x ) = \frac { - x ^ { 3 } } { 7 x ^ { 2 } + 5 }$

Determine whether the equation defines y as a function of x. - $y = \frac { 1 } { x }$

Graph the function. - $f ( x ) = x ^ { 3 }$ $Graph the function. - f ( x ) = x ^ { 3 }$

The graph of a function f is given. Use the graph to answer the question. -What are the x-intercepts?

Find an equation of the secant line containing (1, f(1)) and (2, f(2)). - $f ( x ) = \sqrt { x + 48 }$

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. -

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 minima?

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

Answer the question about the given function. -Given the functi $f ( x ) = 6 x ^ { 2 } - 12 x - 8$ is the point (1, -14) on the graph of f?

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

Determine whether the equation defines y as a function of x. - y2+x=5y ^ { 2 } + x = 5y2+x=5

For the given functions f and g, find the requested function and state its domain. - f(x)=16−x2;g(x)=4−xf ( x ) = 16 - x ^ { 2 } ; g ( x ) = 4 - xf(x)=16−x2;g(x)=4−x Find f+gf + gf+g .

Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function. -The reflection of the graph of y = f(x) across the x-axis

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)=(x+1)2f ( x ) = ( x + 1 ) ^ { 2 }f(x)=(x+1)2

Solve the problem. -A right triangle has one vertex on the graph of y=x2 at (x,y),y = x ^ { 2 } \text { at } ( x , y ),y=x2 at (x,y), another at the origin, and the third on the (positive) y-axis at (0, y). Express the area A of the triangle as a function of x.

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)=∣x∣−4f ( x ) = | x |-4f(x)=∣x∣−4

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

The graph of a function f is given. Use the graph to answer the question. -Is f(8) positive or negative?

Determine algebraically whether the function is even, odd, or neither. - f(x)=−x37x2+5f ( x ) = \frac { - x ^ { 3 } } { 7 x ^ { 2 } + 5 }f(x)=7x2+5−x3​

Determine whether the equation defines y as a function of x. - y=1xy = \frac { 1 } { x }y=x1​

Graph the function. - f(x)=x3f ( x ) = x ^ { 3 }f(x)=x3

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)=16x3f(x)=\frac{1}{6} x^{3}f(x)=61​x3

The graph of a function f is given. Use the graph to answer the question. -What are the x-intercepts?

Find an equation of the secant line containing (1, f(1)) and (2, f(2)). - f(x)=x+48f ( x ) = \sqrt { x + 48 }f(x)=x+48​

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. -

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 minima?

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

Answer the question about the given function. -Given the functi f(x)=6x2−12x−8f ( x ) = 6 x ^ { 2 } - 12 x - 8f(x)=6x2−12x−8 is the point (1, -14) on the graph of f?

Linear and Quadratic Functions

Polynomial and Rational Functions

Conics

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Filters

Determine whether the equation defines y as a function of x. - $y ^ { 2 } + x = 5$

For the given functions f and g, find the requested function and state its domain. - $f ( x ) = 16 - x ^ { 2 } ; g ( x ) = 4 - x$ Find $f + g$ .

Solve the problem. -A right triangle has one vertex on the graph of $y = x ^ { 2 } \text { at } ( x , y ),$ another at the origin, and the third on the (positive) y-axis at (0, y). Express the area A of the triangle as a function of x.

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - $f ( x ) = | x |-4$

Determine algebraically whether the function is even, odd, or neither. - $f ( x ) = \frac { - x ^ { 3 } } { 7 x ^ { 2 } + 5 }$

Determine whether the equation defines y as a function of x. - $y = \frac { 1 } { x }$

Graph the function. - $f ( x ) = x ^ { 3 }$ $Graph the function. - f ( x ) = x ^ { 3 }$

Find an equation of the secant line containing (1, f(1)) and (2, f(2)). - $f ( x ) = \sqrt { x + 48 }$

Answer the question about the given function. -Given the functi $f ( x ) = 6 x ^ { 2 } - 12 x - 8$ is the point (1, -14) on the graph of f?