the table shows ordered pairs for a polynomial function, f. what is the degree of f?

Since the function is even, its degree must be even (so it might be 2, 4, 6, ...)

In particular, all these numbers are one more than a perfect fourth power:

So, the function is

and the degree is 4.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

y -5 = (-1/4)(x + 8)

step-by-step explanation: