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A piecewise-defined function is graphed below. Which of the following statements are true for this function? Select all that apply.

A piecewise-defined function is graphed below. Which of the following statements are-example-1
User Ishaaq
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1 Answer

23 votes
23 votes

Given:

There is a graph given in the question

Required:

We need to find that which of the given options are correct

Step-by-step explanation:

1st As we can see that x=1 is holo dot so x=1 is not in the the domain

Correct

2nd By the graph if we see that the point (-1,0), it is clear that if x=-1, y=0

Correct

3rd The value of x=1 is not in domain so we can not tell anything about x=1

Not possible

4th We can see that there is holo dot so at the value of x=1 function is discontinuous

Correct

5th We get the value of y=0 when x=-1 so the function is not discontinuous

Not possible

6th As we can see that we can never get y negative

Correct

Final answer:

1st, 2nd, 4th, 6th are true