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Popular >

range of-x^2+2

Solution

range

- x^{2} + 2

Solution

f (x) \leq 2

+1

Interval Notation

(- \infty, 2]

Solution steps

Vertex of

- x^{2} + 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 (5x+35)/(7x)domain

\frac{5 x + 35}{7 x}

monotone 2x^3-3x^2-12x+7 monotone intervals

2 x^{3} - 3 x^{2} - 12 x + 7

inflection f(x)=12x(x-4)inflection points

f (x) = 12 x (x - 4)

inverse of f(x)=\sqrt[3]{x}-4 inverse

domain of f(x)= 1/2 x+3 domain

f (x) = \frac{1}{2} x + 3

Frequently Asked Questions (FAQ)

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