Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. The function is continuous on .
A) The function is continuous but zero when , then the function is not continuous in , so the statement is false.
B) The function is continuous and nonzero on , then the function is continuous in , so the statement is true.

Question

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. The function  is continuous on  .
A) The function is continuous but zero when , then the function is not continuous in , so the statement is false. 
B) The function is continuous and nonzero on , then the function is continuous in , so the statement is true.

Quizplus · Accepted Answer

The statement is asking if the function is continuous on a certain interval. Choice B states that the function is continuous on the given interval, and provides a reason why. Choice A provides an example where the function is not continuous, which does not address the question being asked.

Determine Whether the Statement Is True or False