select the correct answer. which statement is true? a. the function f(x) = tan(x) is an even function…

select the correct answer. which statement is true? a. the function f(x) = tan(x) is an even function because its graph is symmetric about the origin. b. the function f(x) = tan(x) is an odd function because its graph is symmetric about the y - axis. c. the function f(x) = tan(x) is an even function because f(-x) = f(x). d. the function f(x) = tan(x) is an odd function because f(-x) = -f(x).

select the correct answer. which statement is true? a. the function f(x) = tan(x) is an even function because its graph is symmetric about the origin. b. the function f(x) = tan(x) is an odd function because its graph is symmetric about the y - axis. c. the function f(x) = tan(x) is an even function because f(-x) = f(x). d. the function f(x) = tan(x) is an odd function because f(-x) = -f(x).

Answer

Brief Explanations:

An odd - function is defined as a function where (f(-x)=-f(x)) for all (x) in the domain of the function. The tangent function (y = \tan(x)) satisfies (\tan(-x)=-\tan(x)). Also, the graph of an odd - function is symmetric about the origin.

Answer:

D. The function (f(x)=\tan(x)) is an odd function because (f(-x)=-f(x))