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Popular Functions >

range of x^2+6x+5

Solution

range

x^{2} + 6 x + 5

Solution

f (x) \geq - 4

+1

Interval Notation

[- 4, \infty)

Solution steps

Vertex of

x^{2} + 6 x + 5 :

Minimum

(- 3, - 4)

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, - 4)

f (x) \geq - 4

Graph

Popular Examples

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slope ofintercept-8x+y-8=0,(2,5)

range of y= 1/x

inverse of f(x)=4x^3+5

Frequently Asked Questions (FAQ)

What is the range of x^2+6x+5 ?
The range of x^2+6x+5 is f(x)>=-4