If the domain of f(x)=2x+3 is {-3<x=0}, which number is NOT in the range?

Question

A) -1

B) 1

C) 0

D) 3

 

Please explain :( Thank you

Answer 1

The domain determines the range of the function.  The domain in interval notation is (-3, 0].  So we evaluate f(-3) and f(0).  We can also evaluate f(x) when x is some number in the interval for accuracy.

 

 

f(-3) = 2(-3) + 3

       = -3

 

f(-2) = 2(-2) + 3

       = -1

 

f(-1) = 2(-1) + 3

        = 1

 

f(0) = 3

 

 

This means the range in interval notation is (-3, 3].  All of your answer choices fall in the range.  Did you make a typo when posting the answer choices?