For problems 1, 2, and 3, use the function g(x) = sin(6x) . 1. Find the amplitude of the function. State the range of the function.

2. Find the period of the function. Find the key points of the function [intercept(s), maximum(s), and minimum(s)] for 1 period. Show all work.

3. Sketch the graph of g (one period), alongside the graph of f(x) = sinx on the interval [0,2/pi]. Label the axes.

For problems 4, 5, and 6, use the function g(x)=cos((x)/(4)).

4. Find the amplitude of the function. State the range of the function.

5. Find the period of the function. Find the key points of the function [intercept(s), maximum(s), and minimum(s)] for 1 period. Show all work.

6. Sketch the graph of g, alongside the graph of f(x) = cosx on the interval [0,2/pi] . Label the axes.