CPM Homework Help : CALC Problem 1-174

A focus of this course will be determining maximum and minimum values for a function on a given interval. However, you already have the skills to do this for certain functions. On your paper, sketch $y = 2\text{sin}(3x)$ for $0 \leq x \leq \frac { 2 \pi } { 3 }$ . Find the points at which $y$ is a maximum and minimum.

Hint 1:

See graph below.

It is a sine curve with amplitude $2$ and period $\frac{2\pi}{3}$ .

Hint 2:

The graph is a sine curve that is vertically stretched by a factor of $2$ and horizontally compressed by a factor of $3$ .

Answer:

Maximum at $(\frac{\pi}{6},?)$ , minimum at $(?,-2)$ .