State whether the function $$y = \sin x$$ is increasing or decreasing on the interval. $$- \frac { \pi } { 2 }

Question

State whether the function $$y = \sin x$$ is increasing or decreasing on the interval. $$- \frac { \pi } { 2 } < x < \frac { \pi } { 2 }$$
A) decreasing
B) increasing

Quizplus · Accepted Answer

The function y = sin x is increasing on the interval -π/2 < x < π/2. This can be observed by looking at the graph of the function, which shows that as x increases within this interval, the value of y also increases. Another way to see this is to consider the fact that the derivative of sin x with respect to x is cos x, which is positive on this interval. A positive derivative indicates an increasing function.

State Whether the Function y=sin⁡xy = \sin xy=sinx Is Increasing or Decreasing on the Interval

State Whether the Function $y = \sin x$ Is Increasing or Decreasing on the Interval