What is the degree of the power function represented in the table

2

Step-by-step explanation:

We need to plot the points in a graph and see the general shape of the curve.

Attached is the graph.

This Upside Down "U" shaped curve is that of a parabola, which has the general form

Thus, we see, the function is a 2nd degree function, highest power is 2.

The degree of the power is 2.

Step-by-step explanation:

In the table we can see that h(0) = 0, so in our function h(x) there are no term that is not multiplicated by x.

we also have:

h(-2) = -8

h(2) = -8

So we see that the function h(x) is a pair function, so the degree must be a pair degree.

We also see that h(1) = h(-1) = -2

So make sense to think that the function is of the form:

h(x) = a*x^n

and for example:

h(2) = a*(2^n) = -2

where n can be 2 or 4

if n = 4, we have

h(2) = a*(2^4) = a*16 = -2

then a = -1/8

and h(1) = (-1/8)*1^n = -1/8

but we know that h(1) must be equal to -2, so n= 4 is not the correct option.

if n = 2

h(2) = a*(2^2) = -8

a*4 = -8

a = -2

and h(1) = -2*(1^2) = -2

this works.

So the degree power of the function is equal to 2.

chad should not have included the values (1, 2) and (3, 6) because that would mean he only had half a healing card.