Question

What are the answers and why?

Answer 1

Answer:

The selected answers are correct.

Step-by-step explanation:

The first step of the 3-step test for continuity is

• check to see if the function is defined at the point. Here, the function h(-3) is defined as 5.

The second step of the 3-step test for continuity is

• check to see if the limit exists at the point. Here, the limit is 2, coming at it either from the left or the right. (log6(36)=2; 16·2^-3=2)

The third step is

• show the function value is the same as the limit at the point of interest. Here 5 ≠ 2, so there is a discontinuity at x=-3.