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Popular >

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

Solution

range

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

Solution

f (x) \geq - \frac{9}{4}

+1

Interval Notation

[- \frac{9}{4}, \infty)

Solution steps

Vertex of

x^{2} - x - 2 :

Minimum

(\frac{1}{2}, - \frac{9}{4})

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}) = (\frac{1}{2}, - \frac{9}{4})

f (x) \geq - \frac{9}{4}

Popular Examples

range of 9.51101E19 range

9.51101 E 19

slope ofintercept y= 4/3 x-6y-8,(-2,8)slope intercept

y = \frac{4}{3} x - 6 y - 8, (- 2, 8)

extreme (x^3-x^2-1)/(x^2)extreme points

\frac{x ^{3} - x ^{2} - 1}{x ^{2}}

slope of 2x-3y=24 slope

2 x - 3 y = 24

domain of f(x)=\sqrt[3]{x-7}domain

Frequently Asked Questions (FAQ)

What is the range of f(x)=x^2-x-2 ?
The range of f(x)=x^2-x-2 is f(x)>=-9/4