Question

Which statement is true about the function f(x) = 6x7?

Answer 1

The function is odd because f(–x) = –f(x).

How to determine the true statement?

The function is given as:

f(x) = 6x^7

A function is odd if the following is true

f(-x) = -f(x)

Calculate f(-x)

f(-x) = 6(-x)^7

f(-x) = -6x^7

Calculate -f(x)

-f(x) = -6x^7

By comparison;

f(-x) = -f(x) = -6x^7

Hence, the function is odd because f(–x) = –f(x).

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Answer 2

Answer: The function is odd because f(–x) = –f(x).

Step-by-step explanation:

$f(x)=6x^7\\\\f(-x)=6(-x)^7 = -6x^7\\\\\therefore f(x)=-f(-x)$