Practice Test

Question 1

What is the range of y is equal to log sub 2 of open paren x minus 6 close paren ?

Revolt · Accepted Answer

A: all real numbers

Question 2

What is the range of the function f of x is equal to negative 2 times open paren 6 to the x th power close paren plus 3 ?

Revolt · Accepted Answer

B: open paren negative infinity comma 3 close paren

Question 3

Which of the following shows the true solution to the logarithmic equation solved? log sub 2 of x plus log sub 2 of open paren x plus 7 close paren is equal to 3 log sub 2 of open bracket x times open paren x plus 7 close paren close bracket is equal to 3 x times open paren x plus 7 close paren is equal to 2 cubed x squared plus 7 x minus 8 is equal to 0 open paren x plus 8 close paren times open paren x minus 1 close paren is equal to 0 x is equal to negative 8 comma 1

Revolt · Accepted Answer

A: x is equal to 1

Question 4

What are the domain and range of f of x is equal to the log of open paren x minus 1 close paren plus 2 ?

Revolt · Accepted Answer

C: domain:  x is greater than 1 ; range: all real numbers

Question 5

Which graph shows the solution to the equation? log sub 3 of open paren x plus 2 close paren is equal to 1

Revolt · Accepted Answer

A: Image with description On a coordinate plane the x axis lists from negative 3 to 9 by 1 and y axis lists from negative 4 to 8 by 1. There is a smooth curve that approaches the line x equals negative 2 in the third quadrant. It passes through the point (negative 1 comma 0), (1 comma 1) and increases as x increases. There is a line parallel to the x axis and cuts the y axis at (0 comma 1).

Question 6

Two different radioactive isotopes decay to 10 percent of their respective original amounts. Isotope A does this in 33 days, while isotope B does this in 43 days. What is the approximate difference in the half-lives of the isotopes?

Revolt · Accepted Answer

D: 10  days

Question 7

What is the solution of the natural log of open paren x plus 6 close paren minus natural log 9 is equal to 2 ? Round your answer to the nearest hundredth.

Revolt · Accepted Answer

A: x is equal to 60 point 5 0

Question 8

What are the solutions to log sub 6 of open paren x squared plus 8 close paren is equal to 1 plus log sub 6 of x ?

Revolt · Accepted Answer

A: x is equal to 2  and  x is equal to 4

Question 9

Which function has a horizontal asymptote of y is equal to 3 ?

Revolt · Accepted Answer

C: f of x is equal to 2 times open paren 4 to the x th power close paren plus 3

Question 10

What is the solution of the log base x of 729 is equal to 3 ?

Revolt · Accepted Answer

B: 9

Practice Test Answers

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