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Popular >

range of f(x)=x^2+9

Solution

range

f (x) = x^{2} + 9

Solution

f (x) \geq 9

+1

Interval Notation

[9, \infty)

Solution steps

Vertex of

x^{2} + 9 :

Minimum

(0, 9)

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, 9)

f (x) \geq 9

Popular Examples

critical f(x)=-2x-16 critical points

f (x) = - 2 x - 16

range of (x^2)/(x+2)range

\frac{x ^{2}}{x + 2}

inverse of sqrt(x-3)+2 inverse

x - 3 + 2

extreme 0.577 extreme points

0.577

critical f(x)=13x+1/x critical points

f (x) = 13 x + \frac{1}{x}

Frequently Asked Questions (FAQ)

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