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Popular >

range of f(x)=(x-4)^2

Solution

range

f (x) = (x - 4)^{2}

Solution

f (x) \geq 0

+1

Interval Notation

[0, \infty)

Solution steps

Vertex of

(x - 4)^{2} :

Minimum

(4, 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}) = (4, 0)

f (x) \geq 0

Popular Examples

symmetry-4x^2-24x-28 symmetry

- 4 x^{2} - 24 x - 28

domain of f(x)= 7/(x-14)domain

f (x) = \frac{7}{x - 14}

slope of y=mx+b slope

y = m x + b

inflection f(x)=(x-1)/(x+3)inflection points

f (x) = \frac{x - 1}{x + 3}

inflection 1-e^{-x}x^2 inflection points

1 - e^{- x} x^{2}

Frequently Asked Questions (FAQ)

What is the range of f(x)=(x-4)^2 ?
The range of f(x)=(x-4)^2 is f(x)>= 0