Use the table to determine the degree of the power function. What is the degree of the power function.

The degree of the power function is 3

Step-by-step explanation:

Let the power function be f(x) = b × xᵃ

Therefore, from the table, we have;

40 = b × (-2)ᵃ

5 =  b × (-1)ᵃ

0 = b × 0ᵃ

-5 = b × (1)ᵃ

-40 = b × (2)ᵃ

From -5 = b × (1)ᵃ, we have;

1ᵃ = 1, which gives;

-5 = b × 1

b = -5

From -40 = b × (2)ᵃ, where b = -5, we have;

-40 = -5 × (2)ᵃ

(2)ᵃ = -40/(-5) = 8

(2)ᵃ = 8 = (2)³

∴ a = 3

㏑(2)ᵃ = ㏑(8)

a·㏑(2) = ㏑(8)

a = ㏑(8)/(㏑(2)) = 3

a = 3

The power function is f(x) = -5 × x³

∴ The degree of the power function is 3.

The x value for the point located 2 over 3 the distance from A to B is

Step-by-step explanation:

A and B are the endpoints of line segment

We are supposed to find x value for the point located 2 over 3 the distance from A to B

Let C be the point located 2 over 3 the distance from A to B

So, m:n=2:1

So, to find the coordinates of point C we will use section formula :

So, the x value for the point located 2 over 3 the distance from A to B is