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Popular >

range of-2x^2-16x-30

Solution

range

- 2 x^{2} - 16 x - 30

Solution

f (x) \leq 2

+1

Interval Notation

(- \infty, 2]

Solution steps

Vertex of

- 2 x^{2} - 16 x - 30 :

Maximum

(- 4, 2)

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 = - 2,

Vertex

(x_{v}, y_{v}) = (- 4, 2)

f (x) \leq 2

Popular Examples

domain of \sqrt[3]{x+5}domain

asymptotes of f(x)=(4-4x)/(6x+3)asymptotes

f (x) = \frac{4 - 4 x}{6 x + 3}

inverse of f(x)=3ln(x+2)+1 inverse

f (x) = 3 ln (x + 2) + 1

extreme f(x)=2sqrt(x)-2x,x>0 extreme points

f (x) = 2 x - 2 x, x > 0

asymptotes of f(x)=3tan(2x-8pi)+3 asymptotes

f (x) = 3 tan (2 x - 8 π) + 3

Frequently Asked Questions (FAQ)

What is the range of-2x^2-16x-30 ?
The range of-2x^2-16x-30 is f(x)<= 2