a) Create graphs of the following trigonometric functions and upload them to the appropriate dropbox.
For each of the graphs, include the key properties of the graph: Amplitude, Period, Maximum/Minimum values, and Asymptote.
- f(x) = sec x for -2π ≤ x ≤ 2π
- f(x) = cot x for -2π ≤ x ≤ 2π
b) Choose any two functions. Explain how to find the domain and range of:
- The composition of the functions,
- Sum and difference of the functions, and
- Product and quotient of the functions.