Question

the graph of an equation is given. (a) find the intercepts. (b) indicate whether the graph is symmetric with respect to the x - axis, the y - axis, or the origin. (a) select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the intercept(s) of the graph are (type an ordered pair. use a comma to separate answers as needed. use integers or fractions for any numbers in the expression. type each answer only once. type an exact answer, using π as needed.) b. there are no intercepts

Explanation:

Step1: Identify x - intercepts

The x - intercepts are the points where the graph crosses the x - axis (where y = 0). From the graph, we can see that the graph crosses the x - axis at \(x=-\frac{\pi}{4}\) and \(x = \frac{\pi}{4}\). The ordered - pairs for x - intercepts are \((-\frac{\pi}{4},0)\) and \((\frac{\pi}{4},0)\).

Step2: Identify y - intercepts

The y - intercept is the point where the graph crosses the y - axis (where x = 0). From the graph, when x = 0, y=-1. The ordered - pair for the y - intercept is \((0, - 1)\).

Answer:

A. \((-\frac{\pi}{4},0),(\frac{\pi}{4},0),(0, - 1)\)