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Popular >

f(t)={sin(t):0<= t<pi,0:t>= pi}

Solution

f (t) = {sin (t) : 0 \leq t < π, 0 : t \geq π}

Solution

Domain : t \geq 0

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

Asymptotes : Horizontal y = 0

Monotone Intervals : Increasing : 0 < t < \frac{π}{2}, Decreasing : \frac{π}{2} < t < π, Constant : π < t < \infty

+1

Interval Notation

Domain : [0, \infty)

Solution steps

Domain of

{sin (t) : 0 \leq t < π, 0 : t \geq π} : t \geq 0

Axis interception points of

{sin (t) : 0 \leq t < π, 0 : t \geq π} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

{sin (t) : 0 \leq t < π, 0 : t \geq π} :

Horizontal

: y = 0

Monotone Intervals of

{sin (t) : 0 \leq t < π, 0 : t \geq π} :

Increasing

: 0 < t < \frac{π}{2},

Decreasing

: \frac{π}{2} < t < π,

Constant

: π < t < \infty

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Frequently Asked Questions (FAQ)

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