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Alg2.2 Polynomials and Rational Functions

I can create and interpret a polynomial that models the volume of a box.

I can use polynomials to understand different kinds of situations.

I can identify important characteristics of polynomial graphs and expressions.

I understand that if you add, subtract, or multiply polynomials, you get another polynomial.

I can find the zeros of a function from its factored form.

I can identify features of polynomials and their graphs using their standard and factored forms.

I can write an expression for a function that has specific horizontal intercepts.

I understand why a function's end behavior is determined by its leading term.

I can identify the end behavior of a polynomial function from its equation.

I can use zeros and multiplicities to sketch a graph of a polynomial.

I can find where two polynomial functions intersect.

I can divide one polynomial by another.

I can use long division to divide polynomials.

I can use division to rewrite a polynomial in factored form starting from a known factor and then sketch what it looks like.

I understand the remainder theorem and why it's true.

I can write a rational function to model different properties of cylinders.

I can identify a vertical asymptote from a graph or an equation of a rational function.

I can identify a horizontal asymptote from a graph or an equation of a rational function.

I can find the end behavior of a rational function by rewriting it as $f(x)=q(x)+\frac{r(x)}{b(x)}$.

I can write rational expressions that represent averages to answer questions about the situation.

I can write and solve equations with simple rational expressions on each side.

I know how to check for extraneous solutions to rational equations.

I understand what an identity is in mathematics.

I can justify why identities are true.

I understand why the geometric sum formula is true.

I can use the geometric sum formula to solve problems.