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  • The domain and range of the function f given by f (x) = 2 - |x −5| is

The domain and range of the function f given by f (x) = 2 - \left |x -5 \right | is

A. Domain = R+, Range = ( - \infty, 1]
B. Domain = R, Range = ( - \infty, 2]
C. Domain = R, Range = (- \infty, 2)
D. Domain = R+, Range = (- \infty, 2]

Answers (1)

Given data: f (x) = 2 - \left |x -5 \right |

 

& f(x) is defined by x \in R

Thus, its domain is f(x) = R

\left |x-5 \right | \geq 0

-|x-5| \leq 0

2-\left |x-5 \right |\leq 2

Thus, f(x) \leq 2

Thus, range of f(x) =(-\infty,2]

Therefore, opt (b) is the correct answer.

Posted by

infoexpert21

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