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Popular >

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

Solution

range

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

Solution

f (x) \geq 0

+1

Interval Notation

[0, \infty)

Solution steps

Vertex of

(x - 2)^{2} :

Minimum

(2, 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}) = (2, 0)

f (x) \geq 0

Popular Examples

domain of (3x)/(x+7(x-2))domain

\frac{3 x}{x + 7 ( x - 2 )}

domain of f(x)=(3-x^2)/(x^2+2x-15)domain

f (x) = \frac{3 - x ^{2}}{x ^{2} + 2 x - 15}

monotone f(x)=2^x monotone intervals

f (x) = 2^{x}

inverse of f(x)=-5x-7 inverse

f (x) = - 5 x - 7

line (1,-2),(3,-1)line

(1, - 2), (3, - 1)

Frequently Asked Questions (FAQ)

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