What is the f(x)=2x,5,x^2,x 1 ?

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Evaluate the Piecewise Function f(x)=2x,x<1; 5,x=1; x^2,x>1

f (x) = 2 x, 5, x^{2}, x < 1, x = 1, x > 1

Domain : - \infty < x < \infty

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

Asymptotes : Slant y = 2 x

Monotone Intervals : Increasing : - \infty < x < 1, Increasing : 1 < x < \infty

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

{2 x : x < 1, 5 : x = 1, x^{2} : x > 1} : - \infty < x < \infty

Axis interception points of

{2 x : x < 1, 5 : x = 1, x^{2} : x > 1} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

{2 x : x < 1, 5 : x = 1, x^{2} : x > 1} :

Slant

: y = 2 x

Monotone Intervals of

{2 x : x < 1, 5 : x = 1, x^{2} : x > 1} :

Increasing

: - \infty < x < 1,

Increasing

: 1 < x < \infty

f (c) = 37 c

f (x) = ∣ x ∣

f (c) = 200 c

(32, 3), (2, - 3)

f (x) = \frac{x}{( x - 2 )}