Question

Determine the domain and range of the function f(x) = –|x| + 2.

Answer 1

Hello from MrBillDoesMath!

Answer:

Domain: all x

Range: f(x) <=2

Discussion:

The domain of abs(x) is all real x, and this is the domain of f.

As abs(x) >=0, ( or -abs(x) <= 0)

f(x) = -abs(x) + 2 <= 0 + 2 = 2

Thank you,

MrB

Answer 2

All real numbers

less or equal to 2

Explanation: