Topic 6 - Exponential and Logarithmic Functions

• It decreases by about 2,000.

• It decreases by about 12,000.

• It increases by about 2,000.

• It increases by about 12,000.

• all real numbers
• 0
• exponential
• 0.5
• linear
• quadratic

Tags

CCSS.HSF-IF.C.7E

Which of the following functions has a greater

growth factor than the function shown in the graph?

Tags

CCSS.HSF.LE.A.2

In 1970, the population of a small town was 4,200. The population is decreasing at a rate of 2.4% per year.

Complete the function that models the population y in the town, t years after 1970.

y = ​ (a)   (​ (b)   )^t

To the nearest thousandth of a percent, the population is decreasing about ​ (c)   % per quarter.

• 4200
• 0.976
• 0.605
• 2.4
• 0.024

Tags

CCSS.HSF-LE.A.1C

The graph of an exponential model in the form y = a ⋅ b^x passes through the points (3, 5) and (4, 10) . Which point is also on the graph?

• (2, 0)

• (2, 1)

• (5, 15)

• (5, 20)

Tags

CCSS.HSF.LE.A.2

Steve invests $1,800 in an account that earns 3.7% annual interest, compounded continuously. What is the approximate value of the account after 10 years?

• $2,466

• $2,589

• $2,601

• $2,606

Tags

CCSS.HSF.BF.B.5

Select all the logarithmic expressions that have been evaluated correctly.

• ln 1 = 0

Tags

CCSS.HSF.BF.B.5

What is the solution to the equation log(2x + 4) = 2 ? Round to the nearest thousandth, if necessary.

x = ?

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.B.5

The graph shows the function f(x) = 3^x . What is the value of f^-1(x) at x = 3 ?

f^-1(3) = ?

Mathematical Equivalence

ON

Tags

CCSS.HSF-BF.B.4C