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Popular Functions >

range of f(x)=-25x^2-10x-1

Solution

range

f (x) = - 25 x^{2} - 10 x - 1

Solution

f (x) \leq 0

+1

Interval Notation

(- \infty, 0]

Solution steps

Vertex of

- 25 x^{2} - 10 x - 1 :

Maximum

(- \frac{1}{5}, 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 = - 25,

Vertex

(x_{v}, y_{v}) = (- \frac{1}{5}, 0)

f (x) \leq 0

Graph

Popular Examples

asymptotes of f(x)=(-2x)/(x+1)

domain of (2x-1)/(3x^3-x)

inflection f(x)=-x^3+6x^2-9x+1

midpoint (0,-4),(-4,2)

monotone f(x)= 1/(x-2)+1

Frequently Asked Questions (FAQ)

What is the range of f(x)=-25x^2-10x-1 ?
The range of f(x)=-25x^2-10x-1 is f(x)<= 0