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Popular >

range of (x+3)^2

Solution

range

(x + 3)^{2}

Solution

f (x) \geq 0

+1

Interval Notation

[0, \infty)

Solution steps

Vertex of

(x + 3)^{2} :

Minimum

(- 3, 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}) = (- 3, 0)

f (x) \geq 0

Popular Examples

domain of 1/(sqrt(e^x+1))domain

\frac{1}{e ^{x} + 1}

inverse of f(x)=x+6 inverse

f (x) = x + 6

inverse of f(x)=6x+1 inverse

f (x) = 6 x + 1

asymptotes of f(x)=xsqrt(x+1)asymptotes

f (x) = x x + 1

slope of y-9=6(x-3)slope

y - 9 = 6 (x - 3)

Frequently Asked Questions (FAQ)

What is the range of (x+3)^2 ?
The range of (x+3)^2 is f(x)>= 0