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Popular >

range of y=x^2

Solution

range

y = 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

extreme 3x^3-36x extreme points

3 x^{3} - 36 x

asymptotes of f(x)=3^{x+1}-2 asymptotes

f (x) = 3^{x + 1} - 2

symmetry y=x^2+2x+1 symmetry

y = x^{2} + 2 x + 1

asymptotes of (x^2-16)/(2x+8)asymptotes

\frac{x ^{2} - 16}{2 x + 8}

slope ofintercept y=-4x+7 slope intercept

y = - 4 x + 7

Frequently Asked Questions (FAQ)

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