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Popular >

range of-3x^2-12x+15

Solution

range

- 3 x^{2} - 12 x + 15

Solution

f (x) \leq 27

+1

Interval Notation

(- \infty, 27]

Solution steps

Vertex of

- 3 x^{2} - 12 x + 15 :

Maximum

(- 2, 27)

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}) = (- 2, 27)

f (x) \leq 27

Popular Examples

asymptotes of f(x)=(x+1)/(x^2-2x-3)asymptotes

f (x) = \frac{x + 1}{x ^{2} - 2 x - 3}

domain of y=sqrt(x-2)+5 domain

y = x - 2 + 5

asymptotes of f(x)=(5x^2+47x+18)/(3x+27)asymptotes

f (x) = \frac{5 x ^{2} + 47 x + 18}{3 x + 27}

inverse of f(x)=5x^3+8 inverse

f (x) = 5 x^{3} + 8

intercepts of f(x)=(x^2+5x)/(x^2+7x+10)intercepts

f (x) = \frac{x ^{2} + 5 x}{x ^{2} + 7 x + 10}

Frequently Asked Questions (FAQ)

What is the range of-3x^2-12x+15 ?
The range of-3x^2-12x+15 is f(x)<= 27