The function f(x) = tan(x) is odd as [tex]f(-x) = -f(x)[/tex] so we can conclude the statement B. The function f(x) = tan(x) is an odd function because [tex]f(-x) = -f(x)[/tex] is the true option.
What are functions?
The function is a relation used to determine a value f(x) for a given x using an expression in x.
What are even functions?
An even function is when f(x) = f(-x). It is symmetric along the y-axis.
What are odd functions?
An odd function is when f(-x) = -f(x). It is symmetric along the x-axis.
How do we solve the given question?
We are dealing with the function f(x) = tan(x).
We calculate f(-x) = tan(-x) = -tan(x) = -f(x).
∴ The function f(x) = tan(x) is an odd function, and odd functions are symmetric about the origin.
∴ The function f(x) = tan(x) is odd as [tex]f(-x) = -f(x)[/tex] so we can conclude the statement B. The function f(x) = tan(x) is an odd function because [tex]f(-x) = -f(x)[/tex] is the true option.
Learn more about odd functions and even functions at
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