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Popular >

range of (x-1)^2

Solution

range

(x - 1)^{2}

Solution

f (x) \geq 0

+1

Interval Notation

[0, \infty)

Solution steps

Vertex of

(x - 1)^{2} :

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

asymptotes of (4x+9)/(3x-6)asymptotes

\frac{4 x + 9}{3 x - 6}

inverse of t^2 inverse

t^{2}

domain of f(x)=5*2^x domain

f (x) = 5 \cdot 2^{x}

domain of sqrt((4-x^2)/(x+1))domain

\frac{4 - x ^{2}}{x + 1}

slope of-15-x=-5y slope

- 15 - x = - 5 y

Frequently Asked Questions (FAQ)

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