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Graphs of Logarithmic functions

Authored by David Rathbone

Mathematics

10th - 12th Grade

CCSS covered

Used 4+ times

Graphs of Logarithmic functions
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21 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

What is the correct transformed equation for the graph?

y = log(x - 4)

y = log(x) - 4

y = log(x + 4)

y = log(x) + 4

Tags

CCSS.HSF-IF.C.7E

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

What is the range of the function graphed?

(-∞, ∞)

(-∞, 2] and [2, ∞)

[2, ∞)

(-∞, 2]

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Logarithmic functions are the inverse of...

Linear Functions
Exponential Functions 
Quadratic Functions 
Polynomial Functions 

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which of the following has a vertical asymptote at x=4x=4  

 y=2x4y=2^x-4  

 y=log2(x4)y=\log_2\left(x-4\right)  

 y=2x+4y=2^x+4  

 y=log2(x+4)y=\log_2\left(x+4\right)  

Tags

CCSS.HSF-IF.C.7E

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Match the graph with its equation.


(If you move your mouse over the graph, the image will pop up larger.)

y = log5 (x + 1) + 1

y = log5 (x - 1) + 1

y = log5 (x2) + 1

y = log5 (x) - 1

Tags

CCSS.HSF-IF.C.7E

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Describe the tranformation

translate 4 units up

translate 4 units left

translate 4 units right

translate 4 units down

Tags

CCSS.HSF.BF.B.3

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