Domain and Range of Reciprocal Functions

Given the function y = 3/x what is the domain

• R except x = 0

• R except x = 3

• R except y = 0

• R except x = 1

Given the function y = 3/x what is the range

• R except y = 0

• R except y = 3

• R except x = 0

• R except y = 1

What is the range of a reciprocal function and how do you find it?

• Only even numbers

• Only prime numbers

• Only negative numbers

• All real numbers except 0

Answer explanation

The range of a reciprocal function is all real numbers except 0. This is because the reciprocal of any non-zero number is a non-zero number. Therefore, the correct choice is 'All real numbers except 0'.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the domain of a reciprocal function and how do you find it?

• Only negative numbers

• Only even numbers

• Only prime numbers

• All real numbers except for 0

Answer explanation

The domain of a reciprocal function is all real numbers except for 0. This is because the reciprocal of 0 is undefined. Therefore, the correct choice is 'All real numbers except for 0'.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Which is the range of the function shown?

Tags

CCSS.HSF-IF.C.7D

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Which is the domain of the function shown?

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

what is the range of the reciprocal parent function ....

• all real number except 0  

• all real numbers except 1

• all real numbers

• all x values  

Tags

CCSS.HSF-IF.C.7A

• (-∞, ∞)

• (0, ∞)

• (-∞, 0)