Question

2. Which of the following statements are true about the graph of f(x) = sec x? (Select all that apply)(0,1) is a point on the graph.f(x) is defined for all x.There is a vertical asymptote at x = /2.f(x) is undefined when sin x = 0.All x-values are included in the domain.

Answer 1

.The function f is given by:

`f(x)=\sec(x)`
`\begin{gathered} f((\pi)/(3))=2 \\ f((\pi)/(2))=(1)/(0) \\ f(0)=1 \\ f((\pi)/(4))=√(2) \\ \end{gathered}`

`\text{ Since }\cos(x)=0\text{ at }x=(\pi)/(2),\text{ it follows that the function }f\text{ has a vertical asymptote at }(\pi)/(2)`

Since f(0) = 1, it follows tha (0, 1) is on the line.

Hence, the correct answers are:

(0,1) is a point on the graph.

There is a vertical asymptote at x = /2.