Question

Please help and answer this question ASAP! :)

Answer 1

• Odd, Even, Even, Neither

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The difference between odd and even functions is that:

• f(-x) = f(x) for even functions,
• f(-x) = - f(x) for odd functions.

Let's test this property for the given functions.

Function f(x)

• f(-4) = - f(4) = 8 and f(-2) = - f(2) = 1, so this is an odd function

Function g(x)

• g(4) = g(-4) = -4 and g(2) = g(-2) = 2, so this is an even function

Function j(x)

• j(2) = j(-2) = 2 and j(1) = (j-1) = - 4, so this is an even function

Function k(x)

• k(-4) = 9, k(4) = 1 and k(-2) = 4, k(2) = 0, since each value is different this is neither odd nor even function