Question

Help me with my practice worksheet pls, do not know how to do thisAccording to the table, is f even, odd, or neither? x -5 -3 0 3 5f(x) 4 -7 1 -7 4

Answer 1

Remember that

The odd functions are functions that return their negative inverse when x is replaced with –x. This means that f(x) is an odd function when f(-x) = -f(x)

Verify

For x=3

f(3)=-7

f(-3)=-7

therefore

f(-x) is not equal to -f(x)

the function is not odd

Even function

A function is an even function if f of x is equal to f of −x for all the values of x

so

f(x)=f(-x)

we have that

f(3)=-7

f(-3)=-7

so

f(x)=f(-x)

therefore

Is an even function