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Popular >

range of f(x)=2x^2-8x-3

Solution

range

f (x) = 2 x^{2} - 8 x - 3

Solution

f (x) \geq - 11

+1

Interval Notation

[- 11, \infty)

Solution steps

Vertex of

2 x^{2} - 8 x - 3 :

Minimum

(2, - 11)

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}) = (2, - 11)

f (x) \geq - 11

Popular Examples

asymptotes of f(x)=(x-9)/(x^2+81)asymptotes

f (x) = \frac{x - 9}{x ^{2} + 81}

extreme f(x)=x^3+3x^2-3 extreme points

f (x) = x^{3} + 3 x^{2} - 3

asymptotes of f(x)=((x^2-1))/x asymptotes

f (x) = \frac{( x ^{2} - 1 )}{x}

asymptotes of f(x)=2^{x+2}asymptotes

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

domain of f(x)=(2x+7)/(5x)domain

f (x) = \frac{2 x + 7}{5 x}

Frequently Asked Questions (FAQ)

What is the range of f(x)=2x^2-8x-3 ?
The range of f(x)=2x^2-8x-3 is f(x)>=-11