Question

(a) find the intercepts. (b) indicate whether the graph is symmetric with respect to the x - axis, the y - axis, the origin, or none of these. (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, i.e., where y = 0. From the graph, the x - intercept is at the origin (0,0).

Step2: Identify y - intercepts

The y - intercept is the point where the graph crosses the y - axis. From the graph, the y - intercept is also at the origin (0,0).

Step3: Check for symmetry

• For x - axis symmetry, if (x,y) is on the graph, then (x, - y) should be on the graph. Looking at the graph, it is not symmetric about the x - axis.
• For y - axis symmetry, if (x,y) is on the graph, then (-x,y) should be on the graph. The graph is not symmetric about the y - axis.
• For origin symmetry, if (x,y) is on the graph, then (-x,-y) should be on the graph. The graph is not symmetric about the origin.

Answer:

(a) The intercept(s) of the graph are (0,0).
(b) None of these.