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Logarithmic Function Domain

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

What is the domain of the logarithmic function y = log(x)?

a)

x > 0

b)

x > 1

c)

x < 0

d)

x = 0

2.

For the function y = log(x), what values can x take in order to have a real result?

a)

x = 0

b)

x = 1

c)

x < 0

d)

x > 0

3.

In the logarithmic function y = log(x), what values of x are not allowed in the domain?

a)

x <= 0

b)

x = 0

c)

x = 1

d)

x > 0

4.

If the base of the logarithmic function is 10, what is the domain of the function y = log(x)?

a)

x > 0

b)

x < 0

c)

x = 0

d)

x = 1

5.

For the function y = log(x) with base e, what is the domain of the function?

a)

x = 0

b)

x > 0

c)

x < 0

d)

x = 1

6.

What happens to the domain of the logarithmic function y = log(x) if x is negative?

a)

The domain is 0

b)

The domain is positive

c)

The domain is x

d)

The domain is undefined

7.

In the function y = log(x), can x be equal to 0 in the domain?

a)

Only on weekends

b)

Sometimes

c)

Yes

d)

No

8.

If the base of the logarithmic function is 2, what is the domain of the function y = log(x)?

a)

x < 0

b)

x > 0

c)

x = 2

d)

x = 0

9.

What is the domain of the logarithmic function y = log(x) if x is a positive real number?

a)

x > 0

b)

x < 0

c)

x = 0

d)

x is a complex number

10.

For the function y = log(x), what is the domain when x is a fraction?

a)

x = 1

b)

x < 0

c)

x > 0

d)

x = 0