What is the range of f(x)=-|x-5|+8 ?

The range of f(x)=-|x-5|+8 is f(x)<= 8

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range of f(x)=-|x-5|+8

range

f (x) = - ∣ x - 5 ∣ + 8

f (x) \leq 8

Interval Notation

(- \infty, 8]

Solution steps

The range of an absolute function of the form

- c ∣ a x + b ∣ + k

f (x) \leq k

k = 8

f (x) \leq 8

f (x) = 1 - 2 x

- 16 (x + 7)^{2} - 3

f (x) = \frac{x - 3}{x ^{2} + 6 x + 9}

\frac{- x - 2}{11}

f (x) = \frac{2}{( \frac{x}{x + 2} )}