:
which represents the explicit formula for the arithmetic sequence an=15+5(n−1) in function form?

a
f(n)=5n+15
b
f(n)=n+20
c
f(n)=5n+10
d
f(n)=n+10

For this case we have the following arithmetic sequence:

To write in function form, we apply distributive property to the terms within parentheses:

Different signs are subtracted and the major sign is placed.

We simplify:

Option C

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.

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