Question

Review the expressions for j(x) and j(–x)

j(–x) StartFraction 220 Over (negative x) cubed EndFractio"

Which statement describes the symmetry of j(x)?
Which statement describes the symmetry of j(x)?

j(x) is an odd function.
j(x) is an even function.
j(x) is both an even and an odd function.
j(x) is neither an even nor an odd function.

Answer 1

Answer:

a Negative values, like −4ac, do not have a square root.

Step-by-step explanation:

Answer 2

In the case above, the statement that describes the symmetry of j(x) is that j(x) is an odd function.

What is the odd function about?

Note that:

j(x) = 220/x³

j(-x) = 220/(-x)³

If x = 1; then:

j(x) = 220/1³

= 220/1

= 220

j(-x) = 220/(-1)³

= 220/-1

= -220

If x = 2; then:

j(2) = 220/2³

= 220/8

j(-2) = 220/(-2)³

= -220/8

Note also that function j would be  an even number only when  j(-x) = j(x) for all x in the space of j.

But j is odd only when  j(-x) = -j(x) for all x in the space of j.

Looking at the values obtained, we see that: j(-x) = -j(x). Therefore, In the case above, the statement that describes the symmetry of j(x) is that j(x) is an odd function.

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