Algebraquiz.docx

1.

Match the graph with its exponential function.

graph of function

2.

Write the logarithmic equation in exponential form.

3.

Select the correct rational function for the following graph.

Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume all variables are positive.)

4.

Solve the exponential equation algebraically. Show all work.

5.

Select the correct graph for the given function

graph of function

graph of function

graph of function

graph of function

graph of function

6.

Determine whether the statement is true or false. Justify your answer.

The line is an asymptote for the graph of

7.

Solve the equation  for x using the One-to-One Property.

-101

-1

The equation has no solution.

-99

101

8.

Condense the expression  to the logarithm of a single term.

9.

10.

11.

Identify the graph of the function.

graph of function

graph of function

graph of function

graph of function

graph of function

12.

Write the exponential equation in logarithmic form.

13.

The population P of a culture of bacteria is described by the equation , where t is the time, in hours, relative to the time at which the population was 1200. What was the population at t = 6 hours? Show all work.

14.

Sovle the logarithmic equation algebraically. Approximate the result to three decimal places and show all work.

ln 2x = 3

15.

Determine whether the statement is true or false given that

True

False