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Popular >

range of x^2-6x-7

Solution

range

x^{2} - 6 x - 7

Solution

f (x) \geq - 16

+1

Interval Notation

[- 16, \infty)

Solution steps

Vertex of

x^{2} - 6 x - 7 :

Minimum

(3, - 16)

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, - 16)

f (x) \geq - 16

Popular Examples

line m=0,(7,5)line

m = 0, (7, 5)

intercepts of (3x^2+5x-12)/(x^3-3x^2)intercepts

\frac{3 x ^{2} + 5 x - 12}{x ^{3} - 3 x ^{2}}

asymptotes of f(x)=(x^2-4x+8)/(x+2)asymptotes

f (x) = \frac{x ^{2} - 4 x + 8}{x + 2}

slope ofintercept 5x+10y=-20 slope intercept

5 x + 10 y = - 20

inverse of f(x)=(x+3)^2+2 inverse

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

Frequently Asked Questions (FAQ)

What is the range of x^2-6x-7 ?
The range of x^2-6x-7 is f(x)>=-16