Select Is a Function or Is not a Function to correctly classify each relation.

Step-by-step explanation:

Firs we need to understand what is a function-

from a set to a set is an assignment of an element of to each element of .

This mean's that an element in can't have multiples values in , then if you find a coordinate with two different values, isn't a function.

Take for example the second data set:

All is good except for the first two coordinates because is define with two different values, then you can determinate that isn't a function.

Maybe you're confuses because exist some graphs that repeat values in as the graph of a circle, but this in reality isn't a function, is a relation. A relation can repeat values in the set infinity times but never is going to be a function.

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! : )

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