Exponential Functions and Their Properties

Exponential Functions and Their Properties

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to find horizontal asymptotes for exponential functions, covering both growth and decay types. It demonstrates graphing techniques and discusses the impact of vertical and horizontal shifts on asymptotes. The tutorial emphasizes that the domain of exponential functions is all real numbers and highlights the role of constants in shifting asymptotes.

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21 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main difference between exponential growth and decay?

Growth decreases over time, decay increases.

Growth increases over time, decay decreases.

Both growth and decay increase over time.

Both growth and decay decrease over time.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of 'e' in exponential functions?

3.142

2.718

1.618

0.577

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the base of an exponential function affect its growth or decay?

The base does not affect growth or decay.

A base greater than 1 indicates growth.

A base greater than 1 indicates decay.

A base less than 1 indicates growth.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is graphing exponential functions challenging?

They have no asymptotes.

They require complex calculations.

They require a lot of work on the calculator.

They are not continuous.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of raising a number to the power of zero?

Negative one

The number itself

One

Zero

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the horizontal asymptote of a basic exponential function like e^x?

y = e

y = 0

y = -1

y = 1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the effect of a negative exponent in an exponential function?

It results in a negative value.

It results in a fraction.

It results in a larger value.

It results in zero.

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