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Popular >

range of x^2+2x

Solution

range

x^{2} + 2 x

Solution

f (x) \geq - 1

+1

Interval Notation

[- 1, \infty)

Solution steps

Vertex of

x^{2} + 2 x :

Minimum

(- 1, - 1)

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, - 1)

f (x) \geq - 1

Popular Examples

intercepts of y=2x^2-5 intercepts

y = 2 x^{2} - 5

slope ofintercept y=x+3 slope intercept

y = x + 3

range of f(x)=log_{5}(x)range

f (x) = lo g_{5} (x)

parity f(x)= x/(x^2+1)parity

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

domain of (4-x)^{1/4}domain

(4 - x)^{\frac{1}{4}}

Frequently Asked Questions (FAQ)

What is the range of x^2+2x ?
The range of x^2+2x is f(x)>=-1