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.

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

.95

step-by-step explanation: