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Popular Functions >

range of x^2+2x-5

Solution

range

x^{2} + 2 x - 5

Solution

f (x) \geq - 6

+1

Interval Notation

[- 6, \infty)

Solution steps

Vertex of

x^{2} + 2 x - 5 :

Minimum

(- 1, - 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 = 1,

Vertex

(x_{v}, y_{v}) = (- 1, - 6)

f (x) \geq - 6

Graph

Popular Examples

domain of f(x)=11-sqrt(x)

d o main f (x) = 11 - x

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

a sy m pt o t es f (x) = \frac{1}{x} - 1

intercepts of x^2-2x-6

in t erce pt s x^{2} - 2 x - 6

inflection f(x)= 3/5 x^5-5x^4

in f l ec t i o n f (x) = \frac{3}{5} x^{5} - 5 x^{4}

range of f(x)=sqrt(x-3)+2

r an g e f (x) = x - 3 + 2

Frequently Asked Questions (FAQ)

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