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Popular >

range of f(x)=-x^2-8x+2

Solution

range

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

Solution

f (x) \leq 18

+1

Interval Notation

(- \infty, 18]

Solution steps

Vertex of

- x^{2} - 8 x + 2 :

Maximum

(- 4, 18)

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 = - 1,

Vertex

(x_{v}, y_{v}) = (- 4, 18)

f (x) \leq 18

Popular Examples

f(x)=(sin(x))/x

f (x) = \frac{sin ( x )}{x}

intercepts of x^2-13x+40 intercepts

x^{2} - 13 x + 40

domain of f(x)=sqrt(-6x+6)domain

f (x) = - 6 x + 6

asymptotes of x/(e^x)asymptotes

\frac{x}{e ^{x}}

range of (x^2-4)/(3x-6)range

\frac{x ^{2} - 4}{3 x - 6}

Frequently Asked Questions (FAQ)

What is the range of f(x)=-x^2-8x+2 ?
The range of f(x)=-x^2-8x+2 is f(x)<= 18