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Popular >

range of f(x)=-5x^2

Solution

range

f (x) = - 5 x^{2}

Solution

f (x) \leq 0

+1

Interval Notation

(- \infty, 0]

Solution steps

Vertex of

- 5 x^{2} :

Maximum

(0, 0)

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 = - 5,

Vertex

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

f (x) \leq 0

Popular Examples

slope ofintercept-4x+2y=2 slope intercept

- 4 x + 2 y = 2

inverse of (e^{2x}-1)/(e^{2x)+1}inverse

\frac{e ^{2 x} - 1}{e ^{2 x} + 1}

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\frac{9}{x ^{2} - 1}

simplify (-7.4)(1.8)simplify

(- 7.4) (1.8)

domain of f(x)=2y-3x=-8 domain

f (x) = 2 y - 3 x = - 8

Frequently Asked Questions (FAQ)

What is the range of f(x)=-5x^2 ?
The range of f(x)=-5x^2 is f(x)<= 0