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Popular >

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

Solution

range

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

Solution

f (x) \geq - 2

+1

Interval Notation

[- 2, \infty)

Solution steps

Vertex of

x^{2} - 2 :

Minimum

(0, - 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 = 1,

Vertex

(x_{v}, y_{v}) = (0, - 2)

f (x) \geq - 2

Popular Examples

slope of 5x-4y=36 slope

5 x - 4 y = 36

range of y=sqrt(x-5)range

y = x - 5

slope ofintercept (4x-2y)/2 =x+1 slope intercept

\frac{4 x - 2 y}{2} = x + 1

range of f(x)=-sqrt(x-7)+1 range

f (x) = - x - 7 + 1

domain of \sqrt[3]{x-4}domain

Frequently Asked Questions (FAQ)

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