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Popular >

range of f(x)=-3x^2

Solution

range

f (x) = - 3 x^{2}

Solution

f (x) \leq 0

+1

Interval Notation

(- \infty, 0]

Solution steps

Vertex of

- 3 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 = - 3,

Vertex

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

f (x) \leq 0

Popular Examples

domain of sqrt((1-x)/(2+x))domain

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

range of f(x)=x^2-6x+5 range

f (x) = x^{2} - 6 x + 5

domain of f(x)=((5x+9))/(8x)domain

f (x) = \frac{( 5 x + 9 )}{8 x}

intercepts of (6x)/7 (4x)/3 intercepts

\frac{6 x}{7} \frac{4 x}{3}

critical f(x)=xe^{3x}critical points

f (x) = x e^{3 x}

Frequently Asked Questions (FAQ)

What is the range of f(x)=-3x^2 ?
The range of f(x)=-3x^2 is f(x)<= 0