10. Topic 14 Review

Presentation

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Mathematics

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9th - 12th Grade

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Practice Problem

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Medium

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CCSS

HSF-IF.C.7E, HSF.BF.B.5, 6.NS.B.3

Standards-aligned

Colleen slatteryc@calvertnet.k12.md.us

Used 1+ times

FREE Resource

1 Slide • 14 Questions

Topic 14 Test Review

Logarithms

Multiple Choice

Find the inverse function of $f\left(x\right)=5^x$

$f'\left(x\right)\ =\ \log_5x$

$f'\left(x\right)=\log_{5x}$

$f'\left(x\right)=5\log x$

$f'\left(x\right)=\log5x$

Multiple Choice

Graph $\ln(x+1)$

Match

Match the following graphs with their domains

Domian: x > -2

Domian: x > 3

Domian: x > 0

Domian: x > 2

Match

Match the following log functions to their horizontal shift (which way will the asymptote shift)

$\ln\left(x\right)$

$\ln\left(x-4\right)$

$\ln\left(x+5\right)$

No Horizontal Shift

Shift Right

Shift Left

Multiple Choice

What is the transformation of the logarithmic function $f\left(x\right)=\log\ \left(x+3\right)-1$

left 3, right 1

right 3, down 1

right 3, up 1

left 3, down 1

Multiple Choice

Where is the vertical asymptote and what is the domain of this graph?

asymptote x = 1 and domain

(1, $\infty$ )

asymptote y = 1 and domain

(-1, $\infty$ )

asymptote x = -1 and domain

( $\infty$ , 1)

asymptote y = -1 and domain

( $\infty$ , 1)

Multiple Choice

Describe the transformations of f(x)= -log₂(x+1)

left 1

left one & reflected over the y-axis

left one & reflected over the x-axis

right one & reflected over the x axis

Fill in the Blanks

14. An earthquake that measures R=6 on the Richter Scale is how many times as intense as an earthquake that measures R=3?

Type answer...

times as intense

Multiple Choice

Classify the following graph.

Exponential Growth

Exponential Decay

Logarithmic

Multiple Choice

What is the Asymptote?

x=5

x=0

y=0

x=1

Multiple Choice

Logarithms and Exponentials are what?

parallel

perpendiular

inverses

congurent

Fill in the Blanks

An earthquake with an intensity of x=2 would measure what on the Richter scale?

Type answer...

Multiple Choice

Change the following exponential equation into a log equation:

$2^5=32$

$\log_25=32$

$\log_{32}5=2$

$\log_232=5$

Multiple Choice

Write in exponential form.
log₂32 = 5

2^-5 = 32

2³² = 5

2⁵ = 32

32⁵ = 2

Topic 14 Test Review

Logarithms

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