Free Printable Graphing Parent Logarithmic Functions

1.

What is the domain and range of this graph?

a)

D: all real numbers
R: all real numbers

b)

D: all real numbers
R: y ≥ 0

c)

D: x ≥ 2
R: y ≥ 3

d)

D: x ≤ 2
R: y ≤ 3

2.

What is the equation of the asymptote?

a)

x = -3

b)

x=5

c)

y= -3

d)

y=5

3.

Match the graph with its equation

a)

y = log₆(-x) + 1

b)

y = log₆(x − 2) + 1

c)

y = log₆(x + 2) - 1

d)

y = log(x-8) + 1

4.

Match the graph with its equation

a)

y = log₅ (x + 1) + 1

b)

y = log₅ (x - 1) + 1

c)

y = log₅ (x²) + 1

d)

y = log₅ (x)-1

5.

Graph

a)

A

b)

B

c)

C

d)

D

6.

Which graph matches the equation

a)

b)

c)

d)

7.

Match the graph with its equation

a)

y = log₄ (x)+2

b)

y = log₄ (x + 2) + 1

c)

y = log₄ (x - 1) + 2

d)

y = log₄ (-x + 2)

8.

Match the graph with its equation

a)

y = log₄ (x)+2

b)

y = log₄ (x + 2) + 1

c)

y = log₄ (x - 1) + 2

d)

y = log₄ (-x + 2)

9.

Which of the equations could best describe the graph?

a)

$\log_2\left(x+1\right)$

b)

$\log_2\left(x-1\right)$

c)

$\log_2\left(x\right)+1$

d)

$\log_2\left(x\right)-1$

10.

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

a)

b)

c)

d)

11.

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

a)

b)

c)

d)

12.

Select all the transformations that apply.

y = -2 log _1/2x

a)

Vertical stretch by 2

b)

Vertical shrink by 1/2

c)

Reflection across the y-axis

d)

Reflection across the x-axis

13.

Which equation is the inverse of the equation above?

a)

b)

c)

d)

14.

Where is the asymptote?

a)

x = 1

b)

y = 1

c)

x = -1

d)

y = -1

15.

Classify the following graph.

a)

Exponential Growth

b)

Exponential Decay

c)

Logarithmic

d)

Rational

16.

What is the domain of log(x)?

a)

(-∞, ∞)

b)

[0, ∞)

c)

(0, ∞)

d)

(∞, -∞)

17.

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

a)

y₁= log(7)x

b)

y₁= log(7x)

c)

y₁= log(x) / log(7)

d)

y₁= log(7) / log(x)

18.

What is the range?

a)

(-∞, ∞)

b)

(0, ∞)

c)

[1, ∞)

d)

(1, ∞)

19.

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

a)

The horizontal asymptote is $y=k$

b)

The vertical asymptote is $x=h$

c)

$h$ is the horizontal shift

d)

$k$ is the vertical shift

e)

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

20.

What is the vertical asymptote for the graph of $f\left(x\right)=\log_4x$ ?

a)

$y=0$

b)

$y=4$

c)

$x=0$

d)

$x=4$

Graphing Parent Logarithmic Functions

Total questions: 20

Worksheet time: 20mins

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