Question

Math. please help me!!!

Part A. on which intreval is the function increasing?

A. (-infinity, -1) U (0, 1)
B. (-1, 0) U (1, infinity)
C. (-infinity, -1) U (1, infinity)
D. (-1, 1) U (1, infinity)

Part B. Identify the x- and y- intercepts of the graphed function.

A. x-intercepts: none.
y-interxepts: (0, 1)

B. x-intercepts: (0, 1) and (0, -1)
y-intercepts: (1, 0)

C. x-intercepts: (1, 0)
y-intercepts: (0, 1) and (0, -1)

D. x-intercept: (-1, 0); and (1, 0)
y-intercept: (0, 1)

Answer 1

Part A.

In this part we have to find the increasing interval .

Increasing interval is that interval where graph goes up. And from the graph we can say that the graph goes up in the interval

`(-1,0)U (1, \infty)`

And that's the increasing interval .

Part B.

Correct option is B

x and y intercepts

x intercept is the point where graph touches the x axis. And the graph touches the x axis at x=-1 and 1 .

So the x intercepts are

`(-1,0) ,(1,0)`

y intercepts are the point, where the graph touches or crosses the y axis.

Therefore the y intercept is (0,1)

So the correct option is D .