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Popular >

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

Popular Examples

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

f (x) = 11 - x

frequency 3+sin(θ/2)frequency

3 + sin (\frac{θ}{2})

asymptotes of f(x)=(x^2-4)/(2x-3)asymptotes

f (x) = \frac{x ^{2} - 4}{2 x - 3}

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

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

intercepts of x^2-2x-6 intercepts

x^{2} - 2 x - 6

Frequently Asked Questions (FAQ)

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