Logarithmic functions

Authored by Betsabé Segura

Mathematics

11th Grade

CCSS covered

Used 574+ times

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17 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Logarithmic functions have...

Vertical asymptote at x=0

Vertical asymptote at x=1

Horizontal asymptote at y=1

Horizontal asymptote at y=0

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Exponential functions have...

Vertical asymptote at x=0

Vertical asymptote at x=1

Horizontal asymptote at y=1

Horizontal asymptote at y=0

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

1 min • 1 pt

log_a x
This function always passes thru coordinate:

(0, 1)

(1, 0)

(0, a)

(a, 0)

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

1 min • 1 pt

a^x
This function always passes thru coordinate:

(0, 0)

(1, 0)

(1, a)

(a, 1)

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What value never changes in the logarithmic functions?

Vertical asymptote

Horizontal asymptote

Domain

Range

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the corresponding graph of
$\log_2\left(-x\right)-1$

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the corresponding graph of
$\log_2\left(-x+1\right)$

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the corresponding graph of
$-\log_2\left(x-3\right)$

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the corresponding graph of
$-\log_2\left(x\right)+3$

Tags

CCSS.HSF-IF.C.7E

10.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the corresponding graph of
$\log_3\left(x-1\right)+4$

Tags

CCSS.HSF-IF.C.7E

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Logarithmic functions

Logarithmic functions have...

Exponential functions have...

loga x This function always passes thru coordinate:

axThis function always passes thru coordinate:

What value never changes in the logarithmic functions?

Find the corresponding graph of log⁡2(−x)−1\log_2\left(-x\right)-1log2​(−x)−1

Find the corresponding graph of log⁡2(−x+1)\log_2\left(-x+1\right)log2​(−x+1)

Find the corresponding graph of −log⁡2(x−3)-\log_2\left(x-3\right)−log2​(x−3)

Find the corresponding graph of −log⁡2(x)+3-\log_2\left(x\right)+3−log2​(x)+3

Find the corresponding graph of log⁡3(x−1)+4\log_3\left(x-1\right)+4log3​(x−1)+4

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log_a x
This function always passes thru coordinate:

a^x
This function always passes thru coordinate:

Find the corresponding graph of
$\log_2\left(-x\right)-1$

Find the corresponding graph of
$\log_2\left(-x+1\right)$

Find the corresponding graph of
$-\log_2\left(x-3\right)$

Find the corresponding graph of
$-\log_2\left(x\right)+3$

Find the corresponding graph of
$\log_3\left(x-1\right)+4$