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Popular >

range of-x^2+36

Solution

range

- x^{2} + 36

Solution

f (x) \leq 36

+1

Interval Notation

(- \infty, 36]

Solution steps

Vertex of

- x^{2} + 36 :

Maximum

(0, 36)

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, 36)

f (x) \leq 36

Popular Examples

inverse of log_{6}(x)inverse

lo g_{6} (x)

symmetry y=x^5+6x symmetry

y = x^{5} + 6 x

asymptotes of f(x)=(4x)/(x^2-16)asymptotes

f (x) = \frac{4 x}{x ^{2} - 16}

slope ofintercept 7x-y=-9 slope intercept

7 x - y = - 9

extreme f(x)=5x^2+8x-9 extreme points

f (x) = 5 x^{2} + 8 x - 9

Frequently Asked Questions (FAQ)

What is the range of-x^2+36 ?
The range of-x^2+36 is f(x)<= 36