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Popular >

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

Popular Examples

inverse of f(x)=7+(2+x)^{1/2}inverse

f (x) = 7 + (2 + x)^{\frac{1}{2}}

range of x/(x-1)range

\frac{x}{x - 1}

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

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

amplitude of f(x)=5sin(1/2 x)amplitude

f (x) = 5 sin (\frac{1}{2} x)

domain of y=|x|+1 domain

y = ∣ x ∣ + 1

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