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Chapter 5 Review (College Algebra)

Chapter 5 Review (College Algebra)

Assessment

Presentation

Mathematics

11th Grade

Practice Problem

Hard

CCSS
8.F.A.1, HSF-BF.B.4A, HSF-BF.B.4C

+2

Standards-aligned

Created by

Edward Jones

Used 29+ times

FREE Resource

3 Slides • 15 Questions

1

Chapter 5 Review

College Algebra

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2

Sections in Chapter 5

  • 5.1 Inverse Functions

  • 5.2 Exponential Functions

  • 5.3 The Natural Exponential (e)

  • 5.4 Intro to Logarithms

  • 5.5 Properties of Logarithms

  • 5.6 Exponential and Logarithmic Equations

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3

Multiple Choice

Question image

How would this relation be classified?

1

Function and one-to-one (injective)

2

Function, but not one-to-one (injective)

3

Not a function at all

4

Multiple Choice

Which functions are one-to-one?

A. f(x)=2x2x+1f\left(x\right)=-2x^2-x+1

B. f(x)=13x+7f\left(x\right)=-\frac{1}{3}x+7

C. f(x)=x13+2f\left(x\right)=\sqrt[3]{x-1}+2

1

A. only

2

B. Only

3

C. Only

4

A. and B.

5

B. and C.

5

Multiple Choice

Find the inverse of f(x)=9x1f\left(x\right)=9x-1 .

1

f1(x)=x19f^{-1}\left(x\right)=x-\frac{1}{9}

2

f1(x)=9x+1f^{-1}\left(x\right)=-9x+1

3

f1(x)=x+19f^{-1}\left(x\right)=\frac{x+1}{9}

4

f1(x)=x19f^{-1}\left(x\right)=\frac{x-1}{9}

6

Multiple Select

Question image

If functions are truly inverses...

(select all that apply)

1

their coordinates are switched (y,x).

2

their graphs are reflected over the line y=x.

3

they both pass through the origin (0,0).

4

they intersect at only one (x,y) location.

7

Fill in the Blank

Type answer...

8

Multiple Choice

Question image

Which equation most accurately depicts the shown graph?

1

y=2(13)xy=2\cdot\left(\frac{1}{3}\right)^x

2

y=2(3)xy=2\cdot\left(3\right)^x

3

y=3(13)x1y=3\left(\frac{1}{3}\right)^x-1

4

y=2(14)xy=2\cdot\left(\frac{1}{4}\right)^x

9

Fill in the Blank

Type answer...

10

Fill in the Blank

Type answer...

11

Multiple Select

Select ALL expressions that are equivalent to each other.

1

log28\log_28

2

3log773\log_77

3

log412\log_412

4

12log12(126)\frac{1}{2}\log_{12}\left(12^6\right)

5

log39\log_39

12

Multiple Choice

What is the domain of y=log7(x+1)y=\log_7\left(x+1\right) ?

1

(0, )\left(0,\ \infty\right)

2

(1, )\left(-1,\ \infty\right)

3

(,)\left(-\infty,\infty\right)

4

(7, )\left(7,\ \infty\right)

5

(1,)\left(1,\infty\right)

13

Multiple Choice

Solve for x.

log3(x+1)=log3(2x+7)\log_3\left(-x+1\right)=\log_3\left(2x+7\right)

1

x = 2

2

x = -2

3

x = 1/2

4

x = -7/2

5

No Solution

14

Fill in the Blank

Type answer...

15

Multiple Choice

What is (12)x=4f\left(\frac{1}{2}\right)^x=4f in its logarithmic form?

1

log4f x=12\log_{4f}\ x=\frac{1}{2}

2

logx4f=12\log_x4f=\frac{1}{2}

3

log12x=4f\log_{\frac{1}{2}}x=4f

4

log124f=x\log_{\frac{1}{2}}4f=x

16

Multiple Choice

Write 3logx4log(1y2)+4log(yx3)3\log x^4-\log\left(\frac{1}{y^2}\right)+4\log\left(\frac{y}{x^3}\right) as a single logarithm.

1

6logxy6\log xy

2

6logy6\log y

3

8logx8\log x

4

34logxy\frac{3}{4}\log xy

17

Fill in the Blank

Type answer...

18

That's it!

  • Use this as a study guide to prep for your test!

  • If some area(s) didn't go well, do something about it!

  • The difficulty of these items is relatively close to the test items.

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Chapter 5 Review

College Algebra

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