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Algebra II Sections 10 and 07 Vocabulary

Name: ___________________________
Today's Date: ______ Date Due: ______
Across
We can use rational equations to model and solve ____-world problems.
Vertical Asymptotes are vertical lines which correspond to the ______ of the denominator of a rational function.
_______ or Slant Asymptotes occur when the degree of the polynomial in the numerator is higher than the degree of the polynomial in the denominator.
We can use ________ equations to model and solve real-world problems.
Given the polynomial function f(x) = [ax^n + ...]/[bx^m + ...] • If n > m, there is an oblique _________.
__________ Formula: a(sub n) = a(sub n - 1) + d, where d is the common difference.
Recursive Formula: a(sub n) = a(sub n - 1) + d, where d is the common __________.
Remainder Theorem: For a polynomial p(x) and a number a, the remainder when dividing p(x) by (x - a) is p(a), so p(a) = 0 if and only if (x - a) is a(n) ______ of p(x).
The ______________ property of equality can help us solve rational equations.
We often use the formula d = rt, where d represents ________, r represents rate_, and t represents time, to solve real-world problems.
Horizontal Asymptotes are y - values on a graph which a function __________ but does not actually reach.
Oblique or Slant Asymptotes occur when the ______ of the polynomial in the numerator is higher than the ______ of the polynomial in the denominator.
Oblique or _____ Asymptotes occur when the degree of the polynomial in the numerator is higher than the degree of the polynomial in the denominator.
In a system of equations, the graphs _________ where f(x) = g(x).
We must find the following to graph rational functions: • __________ • Asymptotes
You need to use ____ division for slant/oblique asymptotes; however, you do not have to worry about the remainder
Down
Oblique or Slant Asymptotes occur when the degree of the polynomial in the _________ is higher than the degree of the polynomial in the denominator.
Given the polynomial function f(x) = [ax^n + ...]/[bx^m + ...] • If n = m, then the horizontal asymptote is the ____ y = a/b.
________ Formula: a(sub n) = a(sub 1) + (n -1)d, where a(sub 1) is the first term and d is the common difference.
In Algebra I, we always let our _____ term be a(sub 1); however, sometimes, we should let the _____ term be a(sub 0).
Remainder Theorem: For a(n) __________ p(x) and a number a, the remainder when dividing p(x) by (x - a) is p(a), so p(a) = 0 if and only if (x - a) is a factor of p(x).
We often use the formula d = rt, where d represents distance, r represents ____, and t represents time, to solve real-world problems.
A sequence is _________ if there exists some real number r such that each term in the sequence is the product of r and the previous term.
Vertical Asymptotes are vertical lines which correspond to the zeroes of the ___________ of a rational function.
_________ Theorem: For a polynomial p(x) and a number a, the _________ when dividing p(x) by (x - a) is p(a), so p(a) = 0 if and only if (x - a) is a factor of p(x).
We can use rational equations to model and solve real-_____ problems.
In Algebra I, we learned two methods for writing formulas for a geometric sequence. Recursive Formula: a(sub n) = a(sub n -1)⋅r where r is the ______ ratio.
A(n) __________ solution to a transformed equation that is not a solution to the original equation.
We often use the formula d = rt, where d represents distance, r represents rate, and t represents ____, to solve real-world problems.
"Consider the following ______ of rational equations. For what value of x does f(x) = g(x)?"
A sequence is __________ if there exists some real number d such that each term in the sequence is the sum of d and the previous term.
__________ Asymptotes are y - values on a graph which a function approaches but does not actually reach.
________ Asymptotes are ________ lines which correspond to the zeros of the denominator of a rational function.
Given the polynomial function f(x) = [ax^n + ...]/[bx^m + ...] • If n < m, then the horizontal asympotote is the x - ____ or y = 0.
In Algebra I, we learned two methods for writing formulas for a geometric sequence. Explicit Formula: a(sub n) = a(sub 1)⋅r^(n - 1) where a(sub 1) is the first term and r is the common _____.