Question

1. what is the significance of using brackets in interval notation?

a. it means the function is undefined at the endpoint
b. it refers to the functions x - intercepts
c. it indicates that the endpoint is included in the interval
d. it indicates that the endpoint is excluded

Explanation:

In interval notation, brackets [ ] are used to show that the endpoint is included in the interval. For example, the interval [a, b] means all real numbers \(x\) such that \(a\leq x\leq b\). Parentheses ( ) are used when the endpoint is excluded. Option a is incorrect as brackets don't relate to the function being undefined at the endpoint. Option b is wrong because x - intercepts are not indicated by brackets in interval notation. Option d is for parentheses.

Answer:

C. It indicates that the endpoint is included in the interval