Chapter 6, Problem 29RE

To determine

To Graph: The function. Each graph should contain at least two periods. Use the graph to find the domain and range of the function.

Answer to Problem 29RE

Domain: All real numbers except $\frac{(2k+1)\pi }{4},k\in Z$

Range: $f(x)\ge 4$

Explanation of Solution

Given: $y=4\sec (2x)$ .

Given: $y=4\sec (2x)$

The graph of the function is shown below.

  

From the graph it is seen that

Domain: All real numbers except $\frac{(2k+1)\pi }{4},k\in Z$

Range: $f(x)\ge 4$