Free Printable Graphing Logarithms and Exponentials

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Graphing Logarithms and Exponentials

Total questions: 20

Worksheet time: 20mins

Name

Class

Date

Where is the asymptote?

x = 1

y = 1

x = -1

y = -1

What is the domain of log(x)?

(-∞, ∞)

[0, ∞)

(0, ∞)

(∞, -∞)

Logarithmic functions are the inverse of...

Linear Functions

Exponential Functions

Quadratic Functions

Polynomial Functions

Graph the following exponential function.

$g\left(x\right)=4\left(\frac{1}{2}\right)^x$

Which graph best represents the following logarithmic function?
$y=\log_4x$

Which graph best represents the following logarithmic function?
$y=\log_2x$

How are exponentials and logarithms related?

They're cousins

They're inverses

They're not related

They're reciprocals

Classify the following graph.

Exponential Growth

Exponential Decay

Logarithmic

Rational

What is the range?

(-∞, ∞)

(0, ∞)

[1, ∞)

(1, ∞)

10.

What is the base?

11.

When creating a graph for f(x)=log₇(x), what should be typed into the graphing calculator?

y₁= log(7)x

y₁= log(7x)

y₁= log(x) / log(7)

y₁= log(7) / log(x)

12.

Which function has a horizontal asymptote?

exponential

logarithm

both

neither

13.

Which function has a vertical asymptote?

exponential

logarithm

both

neither

14.

Match the graph with its equation

y = log₅ (x + 1) + 1

y = log₅ (x - 1) + 1

y = log₅ (x²) + 1

y = log₅ (x) - 1

15.

Looking at the graph, what is the asymptote?

x = 1

y = 1

x = -1

y = -1

16.

Match the graph with its equation

y = log₅ (x + 1) + 1

y = log₅ (x - 1) + 1

y = log₅ (x²) + 1

y = log₅ (x)-1

17.

Match the graph with its equation

y = log₄ (x)+2

y = log₄ (x + 2) + 1

y = log₄ (x - 1) + 2

y = log₄ (-x + 2)

18.

Match the graph with its equation

y = log₆(-x) + 1

y = log₆(x − 2) + 1

y = log₆(x + 2) - 1

y = log(x-8) + 1

19.

Match the graph with its equation

y = log₅ (x + 1) + 1

y = log₅ (x - 1) + 1

y = log₅ (x²) + 1

y = log₅ (x) - 1

20.

Match the graph with its equation

y = log₄ (x)+2

y = log₄ (x + 2) + 1

y = log₄ (x - 1) + 2

y = log₄ (-x + 2)

Reset

Graphing Logarithms and Exponentials

Total questions: 20

Worksheet time: 20mins

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