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Popular >

f(x)=sqrt(x^2-4x+4)

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

X Intercepts : (2, 0), Y Intercepts : (0, 2)

Asymptotes : Slant y = x - 2, y = - x + 2

Extreme Points : Minimum (2, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

x^{2} - 4 x + 4 : - \infty < x < \infty

Range of

x^{2} - 4 x + 4 : f (x) \geq 0

Axis interception points of

x^{2} - 4 x + 4 :

X Intercepts

: (2, 0),

Y Intercepts

: (0, 2)

Asymptotes of

x^{2} - 4 x + 4 :

Slant

: y = x - 2, y = - x + 2

Extreme Points of

x^{2} - 4 x + 4 :

Minimum

(2, 0)

Popular Examples

f(x)=ln(x^2+1)-e^{x/2}cos(pix)

f (x) = ln (x^{2} + 1) - e^{\frac{x}{2}} cos (π x)

f(x)=x^3+6x^2+12x+3

f (x) = x^{3} + 6 x^{2} + 12 x + 3

f(x)=4cos(2pix)

f (x) = 4 cos (2 π x)

y=(-2x^2)/(x^2-9)

y = \frac{- 2 x ^{2}}{x ^{2} - 9}

f(x)=9862.25x^{3.6}

f (x) = 9862.25 x^{3.6}

Frequently Asked Questions (FAQ)

What is the f(x)=sqrt(x^2-4x+4) ?
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