Question

Which of the following statements are true for this function? Select all that apply.
A. The function is discontinuous at x=-1
B.The function is discontinuous at x=1
C. The value of the function is never negative
D. x=1 is not the domain of the function
E. The value of the function at x=-1 is 0
F. The value of the function at x=1 is 0

Answer 1

Answer:

A, C, and E

Step-by-step explanation:

Given is a graph of   a function first a straight line, followed by a semi circle centred at the origin and another piece of straight line not connected to the other graph.

We can see that the funciton is discontinuous at x=1 since

right limit = 1 and left limit =0

x=1 is in the domain .

f(-1) =0 is right

But f(1) =0 is incorrect

Thus correct options are

The function is discontinuous at x = 1.

The value of the function is never negative.

The value of the function at x = -1 is 0

Answer 2

Answer:

B,E,C

Step-by-step explanation:

B There is a break at x=1

C never goes (2,-?)

E y=0

Because a is not true since there isn’t a break. D is untrue because x=1 is in the domain. F is untrue because the value of y at 1 is 1