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Popular >

range of f(x)=-3x^2-18x-25

Solution

range

f (x) = - 3 x^{2} - 18 x - 25

Solution

f (x) \leq 2

+1

Interval Notation

(- \infty, 2]

Solution steps

Vertex of

- 3 x^{2} - 18 x - 25 :

Maximum

(- 3, 2)

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}) = (- 3, 2)

f (x) \leq 2

Popular Examples

domain of y= 1/((-e^{-x)+1)}domain

y = \frac{1}{( - e ^{- x} + 1 )}

domain of g(x)=(7x)/(x^2-36)domain

g (x) = \frac{7 x}{x ^{2} - 36}

domain of f(x)=(arcsin(x/2))/4 domain

f (x) = \frac{arcsin ( \frac{x}{2} )}{4}

distance (3,2),(8,10)distance

(3, 2), (8, 10)

intercepts of x^2+14x+45 intercepts

x^{2} + 14 x + 45

Frequently Asked Questions (FAQ)

What is the range of f(x)=-3x^2-18x-25 ?
The range of f(x)=-3x^2-18x-25 is f(x)<= 2