Question 1

Find ( f F1F1F1S1F1F1F10 g )(x).

Accepted Answer

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

Question 2

Evaluate the function at the specified value of the independent variable and simplify.q (t) = -9t - 1q (1.6)

Accepted Answer

A) -14.4t + 9 
B) -13.4 
C) -15.4 
D) 1.6t - 1 
E) 1.6t + 1 
A) -14.4t + 9 
B) -13.4 
C) -15.4 
D) 1.6t - 1 
E) 1.6t + 1 C

Question 3

Find ( fg )(x).

Accepted Answer

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

Question 4

Find the inverse function of f.

Accepted Answer

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

Question 5

A rectangle is bounded by the x-axis and the semicircle   (see figure). Write the area A of the rectangle as a function of x and determine the domain of the function.     -5 5

Accepted Answer

A)    , -5 F1F1F1S1F1F1F10 x F1F1F1S1F1F1F10 5 
B)    , x F1F1F1S1F1F1F10F1F1F1S1F1F1F100 
C)    , -5 F1F1F1S1F1F1F10 x F1F1F1S1F1F1F10 5 
D)    , all real numbers 
E)    , x F1F1F1S1F1F1F10F1F1F1S1F1F1F100 
A)    , -5 F1F1F1S1F1F1F10 x F1F1F1S1F1F1F10 5 
B)    , x F1F1F1S1F1F1F10F1F1F1S1F1F1F100 
C)    , -5 F1F1F1S1F1F1F10 x F1F1F1S1F1F1F10 5 
D)    , all real numbers 
E)    , x F1F1F1S1F1F1F10F1F1F1S1F1F1F100

Question 6

Use the functions given by   and   to find the indicated value.

Accepted Answer

A)    
B)    
C)    
D)    
E) undefined 
A)    
B)    
C)    
D)    
E) undefined

Question 7

Assume that y is directly proportional to x. If   and   , determine a linear model that relates y and x.

Accepted Answer

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

Question 8

Find the value(s) of x for which f (x) = g (x).f (x) = x2 - 4x - 31 g (x) = -3x - 1

Accepted Answer

A) -31, -27,   
B) -31, -4,   
C) 6, -5 
D) -6, 5 
E) 35,   
A) -31, -27,   
B) -31, -4,   
C) 6, -5 
D) -6, 5 
E) 35,

Question 9

Find the inverse function of

Accepted Answer

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

Question 10

Find the difference quotient and simplify your answer.f (x) = 8x2 - 7x,   , h F1F1F1S1F1F1F10 0

Accepted Answer

A) 1 + h 
B)    
C)    
D) -7 + 8h 
E) 57 + 8h 
A) 1 + h 
B)    
C)    
D) -7 + 8h 
E) 57 + 8h

Question 11

Find the zeroes of the functions algebraically.

Accepted Answer

A) x = 7, x = -8,   
B) x = 7, x = -8 
C)    
D) x = -7, x = 8 
E) x = -7, x = 8,   
A) x = 7, x = -8,   
B) x = 7, x = -8 
C)    
D) x = -7, x = 8 
E) x = -7, x = 8,

Question 12

Determine whether the function has an inverse function. If it does, find the inverse function.

Accepted Answer

A) No inverse function exists. 
B)    
C)    
D)    
E)    
A) No inverse function exists. 
B)    
C)    
D)    
E)

Question 13

Evaluate the function at the specified value of the independent variable and simplify.

Accepted Answer

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

Question 14

Evaluate the indicated function for f (x) = x2 + 6 and g (x) = x - 3.( f F1F1F1S1F1F1F10 g )(t - 6)

Accepted Answer

A) t2 - 13t + 51 
B) t2 - 13t + 45 
C) t2 - 11t + 51 
D) t2 - 11t + 45 
E) t2 F1F1F1S1F1F1F10 t + 51 
A) t2 - 13t + 51 
B) t2 - 13t + 45 
C) t2 - 11t + 51 
D) t2 - 11t + 45 
E) t2 F1F1F1S1F1F1F10 t + 51

Question 15

Find the zeroes of the functions algebraically.

Accepted Answer

A)    
B)    
C)    
D)    
E) no real zeroes 
A)    
B)    
C)    
D)    
E) no real zeroes

Question 16

Evaluate the function at the specified value of the independent variable and simplify.   f (w - 5)

Accepted Answer

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

Question 17

Use a graphing utility to graph the function and find the zeroes of the function.

Accepted Answer

A)    
B)    
C)    
D)    
E) no real zeroes 
A)    
B)    
C)    
D)    
E) no real zeroes

Question 18

Graph the function and determine the interval(s) for which f (x) F1F1F1S1F1F1F10 0.f (x) = -x2 - 2x

Accepted Answer

A)    
B)    
C)    
D)    
E) {-2} 
A)    
B)    
C)    
D)    
E) {-2}

Question 19

Find

Accepted Answer

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

Question 20

Use the graphs of f and g to evaluate the function.

Accepted Answer

A) 0 
B) 4 
C) 9 
D) -4 
E) -1 
A) 0 
B) 4 
C) 9 
D) -4 
E) -1

Find ( f  g )(x).

Evaluate the function at the specified value of the independent variable and simplify.q (t) = -9t - 1q (1.6)

Find ( fg )(x).

Find the inverse function of f.

A rectangle is bounded by the x-axis and the semicircle (see figure). Write the area A of the rectangle as a function of x and determine the domain of the function. -5 5

Use the functions given by and to find the indicated value.

Assume that y is directly proportional to x. If and , determine a linear model that relates y and x.

Find the value(s) of x for which f (x) = g (x).f (x) = x² - 4x - 31 g (x) = -3x - 1

Find the inverse function of

Find the difference quotient and simplify your answer.f (x) = 8x² - 7x, , h  0

Find the zeroes of the functions algebraically.

Determine whether the function has an inverse function. If it does, find the inverse function.

Evaluate the function at the specified value of the independent variable and simplify.

Evaluate the indicated function for f (x) = x² + 6 and g (x) = x - 3.( f  g )(t - 6)

Find the zeroes of the functions algebraically.

Evaluate the function at the specified value of the independent variable and simplify. f (w - 5)

Use a graphing utility to graph the function and find the zeroes of the function.

Graph the function and determine the interval(s) for which f (x)  0.f (x) = -x² - 2x

Find

Use the graphs of f and g to evaluate the function.

Prerequisites

Polynomial and Rational Functions

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Exponential and Logarithmic Functions

Exponential and Logarithmic Functions and Calculus

Trigonometric Functions

Analytic Trigonometry

Trigonometric Functions and Calculus

Topics in Analytic Geometry

Additional Topics in Trigonometry

Filters

Exam 2: Functions and Their Graphs

Find ( f  g )(x).

Evaluate the function at the specified value of the independent variable and simplify.q (t) = -9t - 1q (1.6)

Find ( fg )(x).

Find the inverse function of f.

A rectangle is bounded by the x-axis and the semicircle (see figure). Write the area A of the rectangle as a function of x and determine the domain of the function. -5 5

Use the functions given by and to find the indicated value.

Assume that y is directly proportional to x. If and , determine a linear model that relates y and x.

Find the value(s) of x for which f (x) = g (x).f (x) = x2 - 4x - 31 g (x) = -3x - 1

Find the inverse function of

Find the difference quotient and simplify your answer.f (x) = 8x2 - 7x, , h  0

Find the zeroes of the functions algebraically.

Determine whether the function has an inverse function. If it does, find the inverse function.

Evaluate the function at the specified value of the independent variable and simplify.

Evaluate the indicated function for f (x) = x2 + 6 and g (x) = x - 3.( f  g )(t - 6)

Find the zeroes of the functions algebraically.

Evaluate the function at the specified value of the independent variable and simplify. f (w - 5)

Use a graphing utility to graph the function and find the zeroes of the function.

Graph the function and determine the interval(s) for which f (x)  0.f (x) = -x2 - 2x

Find

Use the graphs of f and g to evaluate the function.

Prerequisites

Polynomial and Rational Functions

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Exponential and Logarithmic Functions

Exponential and Logarithmic Functions and Calculus

Trigonometric Functions

Analytic Trigonometry

Trigonometric Functions and Calculus

Topics in Analytic Geometry

Additional Topics in Trigonometry

Filters

Find the value(s) of x for which f (x) = g (x).f (x) = x² - 4x - 31 g (x) = -3x - 1

Find the difference quotient and simplify your answer.f (x) = 8x² - 7x, , h  0

Evaluate the indicated function for f (x) = x² + 6 and g (x) = x - 3.( f  g )(t - 6)

Graph the function and determine the interval(s) for which f (x)  0.f (x) = -x² - 2x