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Popular Functions >

range of f(x)=-4x^2-12x

Solution

range

f (x) = - 4 x^{2} - 12 x

Solution

f (x) \leq 9

+1

Interval Notation

(- \infty, 9]

Solution steps

Vertex of

- 4 x^{2} - 12 x :

Maximum

(- \frac{3}{2}, 9)

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 = - 4,

Vertex

(x_{v}, y_{v}) = (- \frac{3}{2}, 9)

f (x) \leq 9

Graph

Popular Examples

range of y=9x^2

r an g e y = 9 x^{2}

symmetry-8x^2-12x+1

sy mm e t ry - 8 x^{2} - 12 x + 1

domain of f(x)= x/(3x-1)

d o main f (x) = \frac{x}{3 x - 1}

domain of f(x)=sqrt((4+x)(4-x)(x+2))

d o main f (x) = (4 + x) (4 - x) (x + 2)

parallel 15x+3y=-135

p a r a ll e l 15 x + 3 y = - 135

Frequently Asked Questions (FAQ)

What is the range of f(x)=-4x^2-12x ?
The range of f(x)=-4x^2-12x is f(x)<= 9