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Popular >

range of 2-x^2

Solution

range

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

parity f(x)=-9x^4+5x+3 parity

f (x) = - 9 x^{4} + 5 x + 3

perpendicular 3x+4y=0 perpendicular

3 x + 4 y = 0

asymptotes of f(x)=(-2x+13)/(-4x-2)asymptotes

f (x) = \frac{- 2 x + 13}{- 4 x - 2}

inverse of x^3+5 inverse

x^{3} + 5

inverse of f(x)= 1/4 x^3-2 inverse

f (x) = \frac{1}{4} x^{3} - 2

Frequently Asked Questions (FAQ)

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