What is the range of f(x)=-|x+1|-2 ?

The range of f(x)=-|x+1|-2 is f(x)<=-2

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range of f(x)=-|x+1|-2

range

f (x) = - ∣ x + 1 ∣ - 2

f (x) \leq - 2

Interval Notation

(- \infty, - 2]

Solution steps

The range of an absolute function of the form

- c ∣ a x + b ∣ + k

f (x) \leq k

k = - 2

f (x) \leq - 2

2 x^{2} - 3 x + 5

y = x^{2} - 2 x yy = 2 x

y = 5 x + 2

\frac{( x - 5 )}{( x + 5 )}

f (x) = 24 x^{3}