Graphing Exponential Functions: Key Concepts and Techniques

Graphing Exponential Functions: Key Concepts and Techniques

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Practice Problem

Hard

CCSS
HSF-IF.C.7E, 8.EE.A.1, HSF-IF.C.7D

+2

Standards-aligned

Created by

Liam Anderson

FREE Resource

Standards-aligned

CCSS.HSF-IF.C.7E
,
CCSS.8.EE.A.1
,
CCSS.HSF-IF.C.7D
CCSS.6.EE.B.6
,
CCSS.HSF.BF.A.2
,
Mr. Bergman introduces exponential functions, explaining basic exponent rules and graphing techniques. He discusses transformations, such as vertical and horizontal shifts, and changes in base. The lesson covers exponential growth and decay with practical examples, concluding with a personal note.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the value of 2 raised to a negative exponent?

It becomes a fraction.

It becomes a negative number.

It becomes zero.

It becomes an imaginary number.

Tags

CCSS.8.EE.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the term for a line that a graph approaches but never touches?

Asymptote

Tangent

Secant

Intercept

Tags

CCSS.HSF-IF.C.7D

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the graph of f(x) = 2^x + 1 differ from the graph of f(x) = 2^x?

It is shifted one unit up.

It is shifted one unit to the right.

It is shifted one unit down.

It is shifted one unit to the left.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the graph of an exponential function when the base is changed from 2 to 3?

The graph shifts to the left.

The graph shifts to the right.

The graph becomes less steep.

The graph becomes steeper.

Tags

CCSS.HSF-IF.C.7E

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the effect of a horizontal shift on the graph of an exponential function?

It changes the base of the function.

It changes the steepness of the graph.

It moves the graph left or right.

It moves the graph up or down.

Tags

CCSS.HSF-IF.C.7E

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying a number by 1.02?

A 2% decrease

A 2% increase

A 20% increase

A 20% decrease

Tags

CCSS.6.EE.B.6

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a car's value depreciates by 15% each year, what is the multiplier used to calculate its value after one year?

1.85

1.15

0.85

0.15

Tags

CCSS.HSF.BF.A.2

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