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 claims that the function 11eb12b0_a9d2_f224_b394_631da0b74e7b_TB7866_11 is continuous on 11eb12b0_a9d2_f225_b394_898657e4ee8b_TB7866_11. Choice B provides an example where the function is continuous on a specific interval, which supports the statement. Choice A provides a counterexample where the function is not continuous, which contradicts the statement. Therefore, the best choice is B.

Determine Whether the Statement Is True or False