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Popular >

range of f(x)=20-2x^2

Solution

range

f (x) = 20 - 2 x^{2}

Solution

f (x) \leq 20

+1

Interval Notation

(- \infty, 20]

Solution steps

Vertex of

20 - 2 x^{2} :

Maximum

(0, 20)

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 = - 2,

Vertex

(x_{v}, y_{v}) = (0, 20)

f (x) \leq 20

Popular Examples

critical f(x)=x^4-6x^2 critical points

f (x) = x^{4} - 6 x^{2}

asymptotes of f(x)=(x^3)/(x^2-25)asymptotes

f (x) = \frac{x ^{3}}{x ^{2} - 25}

domain of f(x)=(x+8)/(x^2-16x+64)domain

f (x) = \frac{x + 8}{x ^{2} - 16 x + 64}

domain of f(x)=sqrt(3-2x)domain

f (x) = 3 - 2 x

symmetry y=(x+4)^2 symmetry

y = (x + 4)^{2}

Frequently Asked Questions (FAQ)

What is the range of f(x)=20-2x^2 ?
The range of f(x)=20-2x^2 is f(x)<= 20