Question 1

Write the equation as an equivalent logarithmic equation.
-

Accepted Answer

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

Question 2

Graph the function.
-

Accepted Answer

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

Question 3

Solve the equation.
-

Accepted Answer

A)  12 
B)  2 
C)  3 
D)  27 
A)  12 
B)  2 
C)  3 
D)  27

Question 4

Solve the problem.
-Coyotes are one of the few species of North American animals with an expanding range. The future population of coyotes in a region of Mississippi can be modeled by the equation P = 48 + 10 ln(20t + 1), where t is time in
Years. Use the equation to determine when the population will reach 160. (Round to the nearest tenth of a year.)

Accepted Answer

A)  3656.5 years 
B)  3656.6 years 
C)  3656.4 years 
D)  7.924465962e+09 years 
A)  3656.5 years 
B)  3656.6 years 
C)  3656.4 years 
D)  7.924465962e+09 years

Question 5

Find the inverse of the function.
-

Accepted Answer

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

Question 6

Graph the function.
-

Accepted Answer

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

Question 7

Solve the equation. Round your answer to three decimal places.
-

Accepted Answer

A)  5.000 
B)  9.000 
C)  3.079 
D)  3.000 
A)  5.000 
B)  9.000 
C)  3.079 
D)  3.000

Question 8

Solve the problem.
-If $3500 is invested in an account that pays interest compounded continuously, how long will it take to grow to $7900 at 5.5%? Round to the nearest tenth.

Accepted Answer

A)  12.6 years 
B)  14.8 years 
C)  6.0 years 
D)  15.3 years 
A)  12.6 years 
B)  14.8 years 
C)  6.0 years 
D)  15.3 years

Question 9

Find the domain of the function.
-

Accepted Answer

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

Question 10

Evaluate the exponential expression.
-

Accepted Answer

A)  9 
B)  3 
C)    
D)  27 
A)  9 
B)  3 
C)    
D)  27

Question 11

Graph the function.
-

Accepted Answer

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

Question 12

Solve the problem. When needed, use 365 days per year and 30 days per month.
-What principal invested at 8% compounded continuously for 4 years will yield $1190? Round the answer to two decimal places.

Accepted Answer

A)  $864.12 
B)  $1188.62 
C)  $627.48 
D)  $1638.78 
A)  $864.12 
B)  $1188.62 
C)  $627.48 
D)  $1638.78

Question 13

Write the equation as an equivalent exponential equation.
-  = 0

Accepted Answer

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

Question 14

Solve the problem.
-In the formula   , A is the amount of radioactive material remaining from an initial amount I at a given time t, and k is a negative constant determined by the nature of the material. A certain radioactive isotope
Decays at a rate of 0.275% annually. Determine the half-life of this isotope, to the nearest year.

Accepted Answer

A)  109 yr 
B)  252 yr 
C)  3 yr 
D)  182 yr 
A)  109 yr 
B)  252 yr 
C)  3 yr 
D)  182 yr

Question 15

Graph the function.
-

Accepted Answer

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

Question 16

Find the inverse of the function.
-

Accepted Answer

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

Question 17

Graph the function.
-

Accepted Answer

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

Question 18

Solve the following graphically. If necessary, round answers to the nearest thousandth.
-

Accepted Answer

A)  1.609 
B)  0.201 
C)  No solution 
D)  6.391 
A)  1.609 
B)  0.201 
C)  No solution 
D)  6.391

Question 19

Solve the equation. If necessary, round to thousandths.
-

Accepted Answer

A)  -2.183 
B)  -3.667 
C)  -0.458 
D)  2.183 
A)  -2.183 
B)  -3.667 
C)  -0.458 
D)  2.183

Question 20

Use a graphing calculator to solve the equation. Round to two decimal places.
-

Accepted Answer

A)  0.83 
B)  4.38 
C)  -0.4 
D)  0.6 
A)  0.83 
B)  4.38 
C)  -0.4 
D)  0.6

Write the equation as an equivalent logarithmic equation. -

Graph the function. -

Solve the equation. -

Find the inverse of the function. -

Graph the function. -

Solve the equation. Round your answer to three decimal places. -

Solve the problem. -If $3500 is invested in an account that pays interest compounded continuously, how long will it take to grow to $7900 at 5.5%? Round to the nearest tenth.

Find the domain of the function. -

Evaluate the exponential expression. -

Graph the function. -

Solve the problem. When needed, use 365 days per year and 30 days per month. -What principal invested at 8% compounded continuously for 4 years will yield $1190? Round the answer to two decimal places.

Write the equation as an equivalent exponential equation. - = 0

Graph the function. -

Find the inverse of the function. -

Graph the function. -

Solve the following graphically. If necessary, round answers to the nearest thousandth. -

Solve the equation. If necessary, round to thousandths. -

Use a graphing calculator to solve the equation. Round to two decimal places. -

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

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Exam 4: Exponential and Logarithmic Functions

Write the equation as an equivalent logarithmic equation. -

Graph the function. -

Solve the equation. -

Find the inverse of the function. -

Graph the function. -

Solve the equation. Round your answer to three decimal places. -

Solve the problem. -If $3500 is invested in an account that pays interest compounded continuously, how long will it take to grow to $7900 at 5.5%? Round to the nearest tenth.

Find the domain of the function. -

Evaluate the exponential expression. -

Graph the function. -

Solve the problem. When needed, use 365 days per year and 30 days per month. -What principal invested at 8% compounded continuously for 4 years will yield $1190? Round the answer to two decimal places.

Write the equation as an equivalent exponential equation. - = 0

Graph the function. -

Find the inverse of the function. -

Graph the function. -

Solve the following graphically. If necessary, round answers to the nearest thousandth. -

Solve the equation. If necessary, round to thousandths. -

Use a graphing calculator to solve the equation. Round to two decimal places. -

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

Filters