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Popular >

range of f(x)=-2(x+3)^2-6

Solution

range

f (x) = - 2 (x + 3)^{2} - 6

Solution

f (x) \leq - 6

+1

Interval Notation

(- \infty, - 6]

Solution steps

Vertex of

- 2 (x + 3)^{2} - 6 :

Maximum

(- 3, - 6)

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 = - 2,

Vertex

(x_{v}, y_{v}) = (- 3, - 6)

f (x) \leq - 6

Popular Examples

inverse of f(x)=sqrt(5(x-1))inverse

f (x) = 5 (x - 1)

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

(4, 2), (4, 0)

domain of f(x)=((2x^3+3x^2))/(x^3-4x)domain

f (x) = \frac{( 2 x ^{3} + 3 x ^{2} )}{x ^{3} - 4 x}

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

inflection f(x)=(x+5)/(x-5)inflection points

f (x) = \frac{x + 5}{x - 5}

Frequently Asked Questions (FAQ)

What is the range of f(x)=-2(x+3)^2-6 ?
The range of f(x)=-2(x+3)^2-6 is f(x)<=-6