Rate of Change of Exponential Functions

Suppose a bacteria is introduced to two different solutions in separate petri dishes. The bacteria in the first solution grow at a rate modeled by the function G(t) = (1.40)^t. The bacteria in the second solution grow in accordance with the data displayed in the table. Which statement best describes the growth rates exhibited within the two different solutions?

• The bacteria grow at the same rate in both solutions.

• The bacteria grow at a slower rate in the first solution.

• The bacteria grow at a faster rate in the first solution.

• The bacteria decay in the first solution and grow in the second solution.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Is the table linear, exponential or neither?

• Linear

• Exponential

• Neither

What type of function is f(x)=2(3^x) ?

• Quadratic

• Linear

• Exponential

The graph of this function is a curve going up really fast or down really fast. 

• Linear 

• Exponential

• Neither

Tags

CCSS.HSF-IF.C.7E

• A/F
• B/G
• C/H
• D/J

Tags

CCSS.HSF.LE.B.5

What is the rate of change between [2,4] for the function y=5(4)^x ?

• 80

• 600

• 1280

• 400

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

An exponential function has a __________ rate of change

Tags

CCSS.HSF-IF.C.8B

Which statement below describes the comparison of rate of change between the linear function f(x) and the exponential function g(x).

• g(x) rate of change is ALWAYS greater than f(x) rate of change.

• g(x) is NEVER greater than f(x) rate of change.

• g(x) will eventually exceed the rate of change of f(x).

• There is not enough information to compare the rate of change of f(x) to g(x).

What does "r" stand for in the exponential growth formula?

• final amount

• time

• original amount

• rate of growth

Tags

CCSS.HSF-IF.C.8B

Given a graph of an exponential function that passes through the points (1,2) and (3,8), what is the rate of the exponential function?

• 2

• 3

• 4

• 6

Tags

CCSS.HSF.LE.A.2