please show all your work :)

2x T Show that the equation sec () =3 - > has at least four negative solutions by using the following steps: z i. Define a function f (x) that has zeros whenever the given equation has a solution. ii. Provide a plot of the graph y = f(x) and indicate approximate locations of a four of the function's negative zeros. (desmos.com might be helpful for this!) iii. Use the Intermediate Value Theorem to show that there are four zeros near the ones you found by plotting. Make sure you verify all necessary conditions for the Intermediate Value Theorem to apply