Understanding Exponential Function Behavior

Understanding Exponential Function Behavior

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to determine if a function represents growth, decay, or neither by analyzing the exponential function formula y = a * B^X. The B value is crucial: if greater than one, it indicates growth; if between zero and one, it indicates decay. Negative A values result in neither growth nor decay. The tutorial also covers how negative multipliers affect the interpretation of growth and decay, providing examples to illustrate these concepts.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the key factor in determining if an exponential function represents growth, decay, or neither?

The value of B

The value of Y

The value of A

The value of X

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If B is greater than 1 in an exponential function, what does it indicate?

Growth

Decay

Neither growth nor decay

Constant

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the graph of an exponential function behave when B is greater than 1?

Y values increase as X values increase

Y values remain constant

Y values decrease as X values increase

Y values fluctuate randomly

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a B value between 0 and 1 indicate in an exponential function?

Constant

Neither growth nor decay

Decay

Growth

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the graph of an exponential function behave when B is between 0 and 1?

Y values increase as X values increase

Y values decrease as X values increase

Y values remain constant

Y values fluctuate randomly

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when the A value is negative in an exponential function?

It represents neither growth nor decay

It represents growth

It represents constant

It represents decay

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the problem analysis, what does a B value of 3 indicate?

Neither growth nor decay

Decay

Constant

Growth

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