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Popular >

range of 9-x^2

Solution

range

9 - x^{2}

Solution

f (x) \leq 9

+1

Interval Notation

(- \infty, 9]

Solution steps

Vertex of

9 - x^{2} :

Maximum

(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) \leq 9

Popular Examples

range of 3/(x-1)range

\frac{3}{x - 1}

domain of f(x)=(x-1)/(x+3)domain

f (x) = \frac{x - 1}{x + 3}

midpoint (1,-9),(-5,0)midpoint

(1, - 9), (- 5, 0)

extreme f(x)=6x^2-24x-30 extreme points

f (x) = 6 x^{2} - 24 x - 30

critical f(x)=(2x)/(x^2+1)critical points

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

Frequently Asked Questions (FAQ)

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