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Popular >

range of f(x)=2-x^2

Solution

range

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

Solution

f (x) \leq 2

+1

Interval Notation

(- \infty, 2]

Solution steps

Vertex of

2 - x^{2} :

Maximum

(0, 2)

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, 2)

f (x) \leq 2

Popular Examples

domain of f(x)=\sqrt[3]{|x|+1/x}domain

critical x-7x^{1/7}critical points

x - 7 x^{\frac{1}{7}}

monotone 1/2 4^x monotone intervals

\frac{1}{2} 4^{x}

asymptotes of ((x-4))/((x+5))asymptotes

\frac{( x - 4 )}{( x + 5 )}

line (-5,2),(0,0)line

(- 5, 2), (0, 0)

Frequently Asked Questions (FAQ)

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