Question

F(x) = x

f(x) = 3
f(x) = 5-x
f(x) = 3-x
Domain
x=2
2 0≤x<2
3 f(x) = 1
f(x) = 2
Function Equation

Answer 1

Given f(x)=2−∣x−5∣

Domain of f(x) is defined for all real values of x.

Since, ∣x−5∣≥0⟹−∣x−5∣≤0

⟹2−∣x−5∣≤2⟹f(x)≤2

Hence, range of f(x) is (−∞,2].