Question

if f(x)+6-5x^2 where - 4 ≤ x ≤ 5 then the range of function f is given by

Answer 1

Step-by-step explanation:

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].

Answer 2

ᴀɴꜱᴡᴇʀ❤

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].

ꜱᴡᴇᴇᴛɢɪʀʟ.....☺