Question

Identify the odd function.

A) f(x) = 5
B) f(x) = 8x
C) f(x) = |x3|
D) f(x) = x2 + 7

Answer 1

Explanation:

odd functions are those function in which

-f(x) = f(−x)

if the function is odd , the graph of function is symmetrical about origin.

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In the given problem

option B is correct answer

B) f(x) = 8x

replacing x with -x to satisfy the above described condition

f(-x) = 8(-x) = -8x

as we know 8x is equal to f(x)

f(-x) = -8x = -f(x)

hence,

f(-x) = -f(x)

hence, option B is correct answer.