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Popular >

range of-x^2+3

Solution

range

- x^{2} + 3

Solution

f (x) \leq 3

+1

Interval Notation

(- \infty, 3]

Solution steps

Vertex of

- x^{2} + 3 :

Maximum

(0, 3)

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, 3)

f (x) \leq 3

Popular Examples

domain of f(x)=sqrt(x+6)+3 domain

f (x) = x + 6 + 3

extreme f(x)=15t+6t^2-t^3 extreme points

f (x) = 15 t + 6 t^{2} - t^{3}

domain of f(x)=(sqrt(x+1))/(x-8)domain

f (x) = \frac{x + 1}{x - 8}

domain of f(x)=6x^2-x-12 domain

f (x) = 6 x^{2} - x - 12

asymptotes of f(x)=(-3x)/(x+2)asymptotes

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

Frequently Asked Questions (FAQ)

What is the range of-x^2+3 ?
The range of-x^2+3 is f(x)<= 3