Understanding Exponential and Logarithmic Functions

Understanding Exponential and Logarithmic Functions

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

CCSS
HSF-IF.C.7E, HSF-BF.B.4C, HSF.BF.B.3

+3

Standards-aligned

Created by

Aiden Montgomery

FREE Resource

Standards-aligned

CCSS.HSF-IF.C.7E
,
CCSS.HSF-BF.B.4C
,
CCSS.HSF.BF.B.3
CCSS.HSF-BF.B.4A
,
CCSS.HSF-IF.C.8B
,
CCSS.HSF.BF.B.5
,
The video tutorial explains how to match graphs with their corresponding equations, focusing on exponential and logarithmic functions. It highlights the inverse relationship between these functions and provides methods to identify graphs based on their equations. The tutorial compares exponential functions with different bases and demonstrates how to use inverse functions to identify graph points, ensuring a clear understanding of the concepts.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which functions are identified as exponential growth functions in the video?

Red and Green

Blue and Black

Blue and Red

Black and Green

Tags

CCSS.HSF-BF.B.4A

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the inverse of the equation Y = LOG BASE 3 OF X?

Y = 2 TO THE POWER OF X

X = 3 TO THE POWER OF Y

Y = 3 TO THE POWER OF X

X = 2 TO THE POWER OF Y

Tags

CCSS.HSF-IF.C.7E

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the base of an exponential function affect its graph?

The base does not affect the growth rate

A larger base results in faster growth

A larger base results in slower growth

A smaller base results in faster growth

Tags

CCSS.HSF-IF.C.7E

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which graph represents Y = 3 RAISED TO THE POWER OF X?

Black

Blue

Red

Green

Tags

CCSS.HSF-IF.C.8B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the base of the function Y = 2 RAISED TO THE POWER OF X?

3

2

1

0

Tags

CCSS.HSF-IF.C.7E

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which point is found on the graph of Y = 2 RAISED TO THE POWER OF X?

(1, 3)

(1, 2)

(2, 1)

(3, 1)

Tags

CCSS.HSF-BF.B.4C

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If Y = LOG BASE 2 OF X is the inverse of Y = 2 TO THE POWER OF X, which point is on the log function?

(1, 2)

(2, 1)

(3, 1)

(1, 3)

Tags

CCSS.HSF.BF.B.5

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