Unit 6 Review IM1 Exponential Functions

What does this graph represent?

• Exponential Decay

• Exponential Growth

What does the graph represent?

• Exponential Decay

• Exponential Growth

Is the graph linear, exponential or neither?

• Linear
• Exponential
• Neither

• (2, 2500)

• (1, 4)

• (0, 4)

• (8, 0.5)

• (3, 16)

• (1, 64)

• (0, 1)

• (-2, 48)

• (12, 0)

• (0, 3)

True or False: This is an exponential function.

• True

• False

Function f is an exponential function as shown in this table. By what factor does the output value increase as each input value increases by 1?

• 3

• 9

Answer explanation

Notice that in the table, the x values are increasing by 2, not 1. However, the question asks the growth factor as it increases by 1.

What is the average rate of change of the function on the interval

from x = 2 to x = 4?

f(x) = 2(3)^x

• 72

• 3

• 36.8

• 630

What are the end behaviors of f(x)?

• As x decreases without bound, the graph of f(x) increases without bound.

  As x increases without bound, the graph of f(x) increases without bound.

• As x decreases without bound, the graph of f(x) decreases without bound.

  As x increases without bound, the graph of f(x) decreases without bound.

• As x decreases without bound, the graph of f(x) approaches y = 2.

  As x increases without bound, the graph of f(x) increases without bound.

• As x decreases without bound, the graph of f(x) increases without bound.

  As x increases without bound, the graph of f(x) approaches y = 2.