Question

What is the range of the function f(x)=1/2x+5 when the domain is (2,4,6)

Answer 1

The range of f(x) is { 6 , 7 , 8 }

Explanation:

Given a function y=f(x), the domain of f(x) is the set of values that x can take and the range of f(x) is the set of values that f gets when x is in the domain.

We have the function:

f(x)=1/2x+5

And the domain is

(2,4,6)

Compute the range by assigning each value of x:

For x=2:

f(2) = (1/2)2 + 5 = 1 + 5 = 6

For x=4:

f(2) = (1/2)4 + 5 = 2 + 5 = 7

For x=6:

f(2) = (1/2)6 + 5 = 3 + 5 = 6=8

The range of f(x) is: { 6 , 7 , 8 }