College Algebra: Concepts and Models- ACE Practice Tests

ACE Practice Test
College Algebra: Concepts and Models
Chapter 5-1 : Exponential and Logarithmic Functions

1.	Use a calculator to evaluate 1000(1.025)^-6. Round your answer to three decimal places.

A. 1159.693
B. 862.297
C. -6150.000
D. -1159.693

2.	Use a calculator to evaluate 2⁴. Round your answer to three decimal places.

A. 6065.331
B. 21,680.111
C. 50.265
D. 25.133

3.	Use a calculator to evaluate e^1.3. Round your answer to three decimal places.

A. 8.155
B. 3.534
C. 3.669
D. 442,413.392

Match each exponential function with its graph.

1.	f(x) = 3^x	2.	f(x) = 3^-x	3.	f(x) = 3^x - 4
I.		II.		III.

A. Function 1 = I
Function 2 = III
Function 3 = II
B. Function 1 = III
Function 2 = I
Function 3 = II
C. Function 1 = I
Function 2 = II
Function 3 = III
D. None of the above

5.	Sketch the graph of f(x) = e^2x.

A.
B.
C.
D. None of these

6.	Use the following information to decide which series of numbers below completes the table correctly. Determine the balance A if $2000 is invested at a rate of 10 0.000000or 15 years and compounded n times per year.

A. $8354.50, $8799.58, $8907.84, $8961.54, $8354.50
B. $2019.15, $2077.72, $2242.34, $64,842.99, $8963.38
C. $8354.50, $8799.58, $8907.84, $8961.54, $8963.38
D. None of these

7.	The demand function for a certain product is given by P = 750 - 0.4e^0.005x. Find the price p for a demand of x = 1200 units.

A. $588.63
B. $267.59
C. $747.60
D. $403.43

8.	Sketch the graph of g(x) = 5^x.

A.
B.
C.
D. None of these

9.	Sketch the graph of h(x) = 5^{x - 2}.

A.
B.
C.
D. None of these

10.

Sketch the graph of

A.
B.
C.
D. None of these