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Popular >

range of-16(x+7)^2-3

Solution

range

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

Solution

f (x) \leq - 3

+1

Interval Notation

(- \infty, - 3]

Solution steps

Vertex of

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

Maximum

(- 7, - 3)

For a parabola

a x^{2} + b x + c

with Vertex

(x_{v}, y_{v})

If

a < 0

the range is

f (x) \leq y_{v}

If

a > 0

the range is

f (x) \geq y_{v}

a = - 16,

Vertex

(x_{v}, y_{v}) = (- 7, - 3)

f (x) \leq - 3

Popular Examples

range of x^3-2 range

x^{3} - 2

inverse of f(x)=4sqrt(x)inverse

f (x) = 4 x

domain of f(x)=(x+8)/(x^2-4)domain

f (x) = \frac{x + 8}{x ^{2} - 4}

domain of xe^{-x^2}domain

x e^{- x^{2}}

critical f(x)=x^8-8x^7 critical points

f (x) = x^{8} - 8 x^{7}

Frequently Asked Questions (FAQ)

What is the range of-16(x+7)^2-3 ?
The range of-16(x+7)^2-3 is f(x)<=-3