Effects of Exponential Functions

Effects of Exponential Functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial introduces the mathematical constant e, comparing it to Pi as an irrational number. It explains how to graph the function e^x, highlighting its exponential growth and asymptotic behavior. The tutorial also covers exponential decay with negative exponents and explores transformations of the e^x function, including shifts and stretches. The video concludes with encouragement to explore more math content and support the creator on Patreon.

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35 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate value of the number e?

4.20

3.14

2.71

1.62

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is true about the number e?

It is less than 2

It is a rational number

It is an irrational number

It can be expressed as a fraction

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of e^0?

Undefined

e

1

0

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If x = 1, what is the approximate value of e^x?

1

0

2.71

3.14

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate value of e^2?

5.4

7.4

8.1

6.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the behavior of the graph of y = e^x as x increases?

It decreases

It remains constant

It grows exponentially

It approaches zero

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is an asymptote in the context of exponential functions?

A point where the graph crosses the x-axis

A line that the graph approaches but never touches

A maximum point on the graph

A point where the graph intersects the y-axis

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