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Popular >

range of x^2

Solution

range

x^{2}

Solution

f (x) \geq 0

+1

Interval Notation

[0, \infty)

Solution steps

Vertex of

x^{2} :

Minimum

(0, 0)

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, 0)

f (x) \geq 0

Popular Examples

inverse of f(x)=(x-4)^3+7 inverse

f (x) = (x - 4)^{3} + 7

inverse of f(x)=((x+16))/(x-14)inverse

f (x) = \frac{( x + 16 )}{x - 14}

domain of f(x)= 1/(5x+2)domain

f (x) = \frac{1}{5 x + 2}

critical (5(x^2-1))/(x^2-4)critical points

\frac{5 ( x ^{2} - 1 )}{x ^{2} - 4}

range of f(x)=(x^3+4x^2-2)/(x^2-9)range

f (x) = \frac{x ^{3} + 4 x ^{2} - 2}{x ^{2} - 9}

Frequently Asked Questions (FAQ)

What is the range of x^2 ?
The range of x^2 is f(x)>= 0