Complete the table for the given rule. Rule: y=3x
x y
? 15
10 ?
? 45

x = 5, 15 y = 30

Step-by-step explanation:

y=3x is the rule, thus you can use it to find all values.

15 = 3x  Divide 15 by 3 in order to isolate the variable

5 = x

y = 3(10)  Multiply 3 by 10 in order to find y

y = 30

45 = 3x  Divide 45 by 3 in order to isolate the variable

15 = x

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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