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Popular Functions >

range of y=-x^2-6x-7

Solution

range

y = - x^{2} - 6 x - 7

Solution

f (x) \leq 2

+1

Interval Notation

(- \infty, 2]

Solution steps

Vertex of

- x^{2} - 6 x - 7 :

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 = - 1,

Vertex

(x_{v}, y_{v}) = (- 3, 2)

f (x) \leq 2

Graph

Popular Examples

parity f(x)= 1/(7x^3)

asymptotes of y=(7e^x)/(e^x-6)

asymptotes of y=(x^3-x)/(x^2-6x+5)

inverse of sqrt(2x+8)

monotone (x-8)/(x+4)

Frequently Asked Questions (FAQ)

What is the range of y=-x^2-6x-7 ?
The range of y=-x^2-6x-7 is f(x)<= 2