Question 1

Find the inverse of the function and state its domain and range .
-{(6, -2), (2, -6), (8, -8), (-8, 8)}

Accepted Answer

A) {(-2, 6), (-6, 2), (-8, 8), (8, -8)} D = {-2, -6, -8, 8}; R = {6, 2, 8, -8} 
B)    D = { 6, 2, 8, -8}, R =   
C) {(8, 8), (8, 2), (-2, 6), (-8, -8)}; D = {8, 8, -2, -8}; R = {8, 2, 6, -8} 
D) {(8, 8), (-6, 2), (-2, 2), (-8, -8)}; D = {(8, -6, -2, -8}; R = {8, 2, -8} 
A) {(-2, 6), (-6, 2), (-8, 8), (8, -8)} D = {-2, -6, -8, 8}; R = {6, 2, 8, -8} 
B)    D = { 6, 2, 8, -8}, R =   
C) {(8, 8), (8, 2), (-2, 6), (-8, -8)}; D = {8, 8, -2, -8}; R = {8, 2, 6, -8} 
D) {(8, 8), (-6, 2), (-2, 2), (-8, -8)}; D = {(8, -6, -2, -8}; R = {8, 2, -8}

Question 2

Write the word or phrase that best completes each statement or answers the question.
-A cancer patient undergoing chemotherapy is injected with a particular drug. The function   gives the number of milligrams D of this drug that is in the patientʹs bloodstream h hoursafter the drug has been administered. How many milligrams of the drug were injected? To the nearestmilligram, how much of the drug will be present after 2 hours?

Accepted Answer

The answer of Write the word or phrase that best...

Question 3

Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x.
-f(x)=   , g(x)= x

Accepted Answer

A) No, no 
B) No, yes 
C) Yes, no 
D) Yes, yes 
A) No, no 
B) No, yes 
C) Yes, no 
D) Yes, yes

Question 4

Find functions f and g so that f ∘ g = H.
-H(x)=

Accepted Answer

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

Question 5

Use a calculator to evaluate the expression. Round your answer to three decimal places
-

Accepted Answer

A) 0.858 
B) -1.570 
C) -0.166 
D) 1.570 
A) 0.858 
B) -1.570 
C) -0.166 
D) 1.570

Question 6

Find the domain of the composite function f ∘ g.
-

Accepted Answer

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

Question 7

Find the exact value of the logarithmic expression.
-

Accepted Answer

A) 0 
B) 1 
C) e 
D) -1 
A) 0 
B) 1 
C) e 
D) -1

Question 8

Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x.
-f(x)=   , g(x)=

Accepted Answer

A) No, no 
B) No, yes 
C) Yes, no 
D) Yes, yes 
A) No, no 
B) No, yes 
C) Yes, no 
D) Yes, yes

Question 9

Find the domain of the composite function f ∘ g.
-f(x)= 7x + 42; g(x)= x + 10

Accepted Answer

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

Question 10

Find the exact value of the logarithmic expression.
-

Accepted Answer

A) 2 
B) 9 
C) 6 
D) 3 
A) 2 
B) 9 
C) 6 
D) 3

Question 11

For the given functions f and g, find the requested composite function value.
-f(x)= 4x + 6,   ; Find (f ∘ g)(0).

Accepted Answer

A) 26 
B) 149 
C) 30 
D) 105 
A) 26 
B) 149 
C) 30 
D) 105

Question 12

Decide whether or not the functions are inverses of each other.
-f(x)= 9x - 6, g(x)=

Accepted Answer

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

Question 13

Find the exact value of the logarithmic expression.
-

Accepted Answer

A) -3 
B) 3 
C)    
D)    
A) -3 
B) 3 
C)    
D)

Question 14

Find functions f and g so that f ∘ g = H.
-H(x)=

Accepted Answer

A) f(x)=   , g(x)=   
B) f(x)=   ; g(x)=   
C) f(x)=   ; g(x)=   
D) f(x)=   ; g(x)=   - 9 
A) f(x)=   , g(x)=   
B) f(x)=   ; g(x)=   
C) f(x)=   ; g(x)=   
D) f(x)=   ; g(x)=   - 9

Question 15

Find the inverse. Determine whether the inverse represents a function.
-{(6, -10), (-4, -9), (-6, -8), (-8, -7)}

Accepted Answer

A) {(-10, 6), (-9, -4), (-8, -6), (-7, -8)}; a function 
B) {(-10, 6), (-9, -4), (-8, -6), (-7, -8)}; not a function 
C) {(-9, -10), (-10, -6), (6, -4), (-9, -8)}; not a function 
D) {(-9, -10), (-7, -6), (6, -6), (-9, -8)}; a function 
A) {(-10, 6), (-9, -4), (-8, -6), (-7, -8)}; a function 
B) {(-10, 6), (-9, -4), (-8, -6), (-7, -8)}; not a function 
C) {(-9, -10), (-10, -6), (6, -4), (-9, -8)}; not a function 
D) {(-9, -10), (-7, -6), (6, -6), (-9, -8)}; a function

Question 16

For the given functions f and g, find the requested composite function value.
-f(t)=   ,   Find (f ∘ g)(9).

Accepted Answer

A) 25 
B) 31 
C) 625 
D) 360 
A) 25 
B) 31 
C) 625 
D) 360

Question 17

Find functions f and g so that f ∘ g = H.
-H(x)=

Accepted Answer

A) f(x)=   ; g(x)= x + 1 
B) f(x)= x + 1 ; g(x)=   
C) f(x)=   ; g(x)= 1 
D) f(x)=   g(x)= x + 1 
A) f(x)=   ; g(x)= x + 1 
B) f(x)= x + 1 ; g(x)=   
C) f(x)=   ; g(x)= 1 
D) f(x)=   g(x)= x + 1

Question 18

Solve the equation.
-

Accepted Answer

A) {4} 
B) {-4} 
C)    
D)    
A) {4} 
B) {-4} 
C)    
D)

Question 19

Solve the problem.
-The formula   gives the average atmospheric pressure, P, in pounds per square inch, at analtitude x, in miles above sea level. Find the average atmospheric pressure for an altitude of 2.3 miles.Round your answer to the nearest tenth.

Accepted Answer

A)    
B)    
C) 1   
D)    
A)    
B)    
C) 1   
D)

Question 20

Determine i)the domain of the function, ii)the range of the function, iii)the domain of the inverse, and iv)the
range of the inverse.
-f(x)= -2x - 1

Accepted Answer

A) f(x): D is all real numbers, R is all real numbers;   D is all real numbers, R is all real numbers 
B)    
C)    
D)    
A) f(x): D is all real numbers, R is all real numbers;   D is all real numbers, R is all real numbers 
B)    
C)    
D)

Find the inverse of the function and state its domain and range . -{(6, -2), (2, -6), (8, -8), (-8, 8)}

Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x. -f(x)= , g(x)= x

Find functions f and g so that f ∘ g = H. -H(x)=

Use a calculator to evaluate the expression. Round your answer to three decimal places -

Find the domain of the composite function f ∘ g. -

Find the exact value of the logarithmic expression. -

Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x. -f(x)= , g(x)=

Find the domain of the composite function f ∘ g. -f(x)= 7x + 42; g(x)= x + 10

Find the exact value of the logarithmic expression. -

For the given functions f and g, find the requested composite function value. -f(x)= 4x + 6, ; Find (f ∘ g)(0).

Decide whether or not the functions are inverses of each other. -f(x)= 9x - 6, g(x)=

Find the exact value of the logarithmic expression. -

Find functions f and g so that f ∘ g = H. -H(x)=

Find the inverse. Determine whether the inverse represents a function. -{(6, -10), (-4, -9), (-6, -8), (-8, -7)}

For the given functions f and g, find the requested composite function value. -f(t)= , Find (f ∘ g)(9).

Find functions f and g so that f ∘ g = H. -H(x)=

Solve the equation. -

Solve the problem. -The formula gives the average atmospheric pressure, P, in pounds per square inch, at analtitude x, in miles above sea level. Find the average atmospheric pressure for an altitude of 2.3 miles.Round your answer to the nearest tenth.

Determine i)the domain of the function, ii)the range of the function, iii)the domain of the inverse, and iv)the range of the inverse. -f(x)= -2x - 1

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Exam 6: Exponential and Logarithmic Functions

Find the inverse of the function and state its domain and range . -{(6, -2), (2, -6), (8, -8), (-8, 8)}

Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x. -f(x)= , g(x)= x

Find functions f and g so that f ∘ g = H. -H(x)=

Use a calculator to evaluate the expression. Round your answer to three decimal places -

Find the domain of the composite function f ∘ g. -

Find the exact value of the logarithmic expression. -

Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x. -f(x)= , g(x)=

Find the domain of the composite function f ∘ g. -f(x)= 7x + 42; g(x)= x + 10

Find the exact value of the logarithmic expression. -

For the given functions f and g, find the requested composite function value. -f(x)= 4x + 6, ; Find (f ∘ g)(0).

Decide whether or not the functions are inverses of each other. -f(x)= 9x - 6, g(x)=

Find the exact value of the logarithmic expression. -

Find functions f and g so that f ∘ g = H. -H(x)=

Find the inverse. Determine whether the inverse represents a function. -{(6, -10), (-4, -9), (-6, -8), (-8, -7)}

For the given functions f and g, find the requested composite function value. -f(t)= , Find (f ∘ g)(9).

Find functions f and g so that f ∘ g = H. -H(x)=

Solve the equation. -

Solve the problem. -The formula gives the average atmospheric pressure, P, in pounds per square inch, at analtitude x, in miles above sea level. Find the average atmospheric pressure for an altitude of 2.3 miles.Round your answer to the nearest tenth.

Determine i)the domain of the function, ii)the range of the function, iii)the domain of the inverse, and iv)the range of the inverse. -f(x)= -2x - 1

Equations and Inequalities

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Graphing Utilities

Filters