Question

Which of the following statements are true about the graph?

Answer 1

2, 3

Explanation:

1: limits are what number both sides approach, not what number they touch, so even though there is a closed circle at (1,0), the limit there doesn't exist.

2: looking at the y value the graph approaches -1 from the right, the y-value is 1, so this answer is correct

3: because both sides approach the same y-value at x = 0, the limit does exist

4: as the left and right approach 0, there is no definite answer, so it doesn't apply

5: from the left approaching 0, it approaches a y value of 0, not 1, so this answer is incorrect.

I hope this helped :)