For the function (2log(x + 6) - 7), select all the transformations that apply:

Stretch vertically by a factor of 2, left 6 units, down 7 units

Stretch horizontally by a factor of 2, right 6 units, up 7 units

Stretch vertically by a factor of 1/2

Which of the following is the correct graph for the logarithmic function $$f(x) = \log_2(x-3)$$ ?

Graph passing through $$(4,0)$$ with a vertical asymptote at $$x = 3$$

Graph passing through $$(3,0)$$ with a vertical asymptote at $$x = 0$$

Graph passing through $$(0,3)$$ with a vertical asymptote at $$x = -3$$

Graph passing through $$(0,0)$$ with no vertical asymptote

Graph the logarithmic function: $$y = \log(x-2)$$

The graph is a curve that passes through (3,0) and approaches the line $$x=2$$ asymptotically.

The graph is a straight line passing through the origin.

The graph is a parabola opening upwards.

Expand: log ⁡ a b \log\ ab lo g a b

log ⁡ a + log ⁡ b \log a+\log b lo g a + lo g b

log ⁡ a − log ⁡ b \log a\ -\ \log b lo g a − lo g b

Simplify: 1 4 log ⁡ 2 81 + 1 2 log ⁡ 2 49 \frac{1}{4}\log_281+\frac{1}{2}\log_249 4 1 lo g 2 8 1 + 2 1 lo g 2 4 9

log ⁡ 2 21 \log_221 lo g 2 2 1

log ⁡ 2 10 \log_210 lo g 2 1 0

log ⁡ 2 ( 3 7 ) \log_2\left(\frac{3}{7}\right) lo g 2 ( 7 3 )

log ⁡ 2 44.75 \log_244.75 lo g 2 4 4 . 7 5

Simplify: log ⁡ 7 3 + log ⁡ 7 6 \log_73+\log_76 lo g 7 3 + lo g 7 6

log ⁡ 7 ( 1 2 ) \log_7\left(\frac{1}{2}\right) lo g 7 ( 2 1 )

Logarithmic Functions Graph and Properties

Quiz

•

Mathematics

•

10th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF.BF.B.5, HSF-IF.C.7E

Standards-aligned

Danish Rehman

Used 13+ times

FREE Resource

47 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

100

10

1000

0.01

Tags

CCSS.HSF.BF.B.5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

1

2

3

4

Tags

CCSS.HSF.BF.B.5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSF.BF.B.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the domain of the function: f(x) = log_3 (x + 5) - 2.

y < 5

x < -5

x > -5

y > -5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

x > 4

y > -4

y > -3

All real numbers

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

5

6

7

8

Tags

CCSS.HSF.BF.B.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

(0, -124)

(124, 0)

(126, 0)

(-126, 0)

Tags

CCSS.HSF-IF.C.7E

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Logarithmic Functions Graph and Properties

47 questions

Find the domain of the function: f(x) = log_3 (x + 5) - 2.

Use properties of the logarithms to match the expressions: log(4x) = log4 + logx

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