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Popular >

range of x^2+2x+1

Solution

range

x^{2} + 2 x + 1

Solution

f (x) \geq 0

+1

Interval Notation

[0, \infty)

Solution steps

Vertex of

x^{2} + 2 x + 1 :

Minimum

(- 1, 0)

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, 0)

f (x) \geq 0

Popular Examples

range of f(x)=(x+3)/(x+6)range

f (x) = \frac{x + 3}{x + 6}

inverse of f(x)=sqrt(7x)inverse

f (x) = 7 x

domain of 7c-14 domain

7 c - 14

asymptotes of f(x)=((2x^2-x-10))/(x+2)asymptotes

f (x) = \frac{( 2 x ^{2} - x - 10 )}{x + 2}

range of f(x)=1-2^x range

f (x) = 1 - 2^{x}

Frequently Asked Questions (FAQ)

What is the range of x^2+2x+1 ?
The range of x^2+2x+1 is f(x)>= 0