Describe the end behavior of the graph of $$f\left(x\right)=\log_4x$$

As $$x\rightarrow0^+$$ , $$y\rightarrow-\infty$$

As $$x\rightarrow\infty$$ , $$y\rightarrow\infty$$

As $$x\rightarrow\infty$$ , $$y\rightarrow-\infty$$

As $$x\rightarrow0^+$$ , $$y\rightarrow\infty$$

Which of the following is true about the general form of a logarithmic function, f\left(x\right)=a\log_b\left(x-h\right)+k ? Select ALL that apply

The vertical asymptote is $$x=h$$

$$a$$ reflects the graph over the x-axis if it's negative

The horizontal asymptote is $$y=k$$

The logarithmic function f is defined by $$f\left(x\right)=\log_3\left(x\right)\ $$ on a domain of f is $$0

f has a maximum value, but no minimum value.

f has both a maximum and a minimum value.

f has a minimum value, but no maximum value.

f has neither a minimum value nor a maximum value.

Logarithmic End Behavior

Authored by Anthony Clark

Mathematics

12th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the asymptote of y = log₂x - 3

y = 0

y = -3

x = 0

x = -3

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the asymptote of y = log₂(x - 3) ?

y = 0

y = 3

x = 0

x = 3

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the end behavior of the function shown: y=log₂(x+1)

Answer explanation

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the asymptote for the given function: y = log₁₀ (x+3)

x=-3

x=3

y=-3

y=3

Answer explanation

Log function asymptote is always x=h!!

Tags

CCSS.HSF-IF.C.7E

MULTIPLE SELECT QUESTION

1 min • 1 pt

Describe the end behavior for h\left(x\right)=-\log_3\left(x+1\right). Select ALL that apply.

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The logarithmic function f is defined by f(x) = 2lnx. Which of the following pairs of statements correctly describes the end behavior of f?

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

1 min • 1 pt

As x --> ∞, f(x) --> ____

∞

-∞

Tags

CCSS.HSF-IF.C.7E

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Logarithmic End Behavior

What is the asymptote of y = log₂x - 3

What is the asymptote of y = log₂(x - 3) ?

Describe the end behavior of the function shown: y=log₂(x+1)

What is the asymptote for the given function: y = log₁₀ (x+3)

Log function asymptote is always x=h!!

Describe the end behavior for h\left(x\right)=-\log_3\left(x+1\right). Select ALL that apply.

The logarithmic function f is defined by f(x) = 2lnx. Which of the following pairs of statements correctly describes the end behavior of f?

As x --> ∞, f(x) --> ____

Match the graph with its equation

Rewrite in exponential form.

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Log function asymptote is always x=h!!

Describe the end behavior for h\left(x\right)=-\log_3\left(x+1\right). Select ALL that apply.

The logarithmic function f is defined by f(x) = 2lnx. Which of the following pairs of statements correctly describes the end behavior of f?

As x --> ∞, f(x) --> ____

Match the graph with its equation

Rewrite in exponential form.

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Similar Resources on Wayground

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Discover more resources for Mathematics

What is the asymptote of y = log₂x - 3

What is the asymptote of y = log₂(x - 3) ?

Describe the end behavior of the function shown: y=log₂(x+1)

What is the asymptote for the given function: y = log₁₀ (x+3)