A teacher gathered data about the number of hours her students spent studying for a test and their resulting test grades. She
found that on average, for every 30 minutes studied, the grade increased by 8 points. Which statements about this relationship
are true? Check all that apply.
The data set would have a linear association.
The data set would have a nonlinear association.
The data set would have a positive correlation.
The data set would have a negative correlation
Every student earns 16 more points for each additional hour they study.
Students that study more tend to earn better grades on the test.

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

b if for most of the graph

d if y intercept

step-by-step explanation: