Select the graph of the function and determine whether it is even, odd, or neither. F(x) = x² - 6 A) Odd B) Neither C) Odd D) Neither E) Even

Question

Quizplus · Accepted Answer

The function is of the form f(x) = g(x) + c, where g(x) = x² is an odd function symmetric about the origin and c = -6 is a constant. Since an odd function is symmetric about the origin, we know that f(-x) = -f(x) and f(x) is an odd function. Therefore, the graph of the function is symmetric about the origin and is an odd function, so the answer is E.

Select the Graph of the Function and Determine Whether It