Understanding Exponential Functions Properties

Understanding Exponential Functions Properties

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to identify increasing and decreasing exponential functions based on the base value. If the base is greater than one, the function is increasing; if the base is between zero and one, it is decreasing. Reflections can change the nature of the function, making an increasing function decrease and vice versa. The key takeaway is to focus on the base to determine the function's behavior.

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22 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus when identifying increasing and decreasing exponential functions?

The slope

The exponent

The base

The y-intercept

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the base of an exponential function is greater than one, what can be said about the function?

It is decreasing

It is constant

It is increasing

It is undefined

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is an example of an increasing exponential function?

y = 1^x

y = -3^x

y = 2^x

y = 0.5^x

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the y-values of an increasing exponential function as x increases?

They remain constant

They increase

They oscillate

They decrease

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the range of the base for a decreasing exponential function?

Greater than one

Equal to one

Between zero and one

Less than zero

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is an example of a decreasing exponential function?

y = 1.5^x

y = 0.8^x

y = 3^x

y = 2^x

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the key factor in determining whether an exponential function is increasing or decreasing?

The y-intercept

The base

The exponent

The slope

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