Unit+2

=Unit 2 Polynomial, Power, and Rational Functions= =Video/Resources= []

=on line help= []

**Objectives**
You will be able to construct and graph linear and quadratic functions and use them to model behavior in real world problems.
 * Key Ideas**
 * Average rate of change || Linear correlation (positive or negative) ||
 * Axis of symmetry of a parabola || Linear depreciation ||
 * Coefficient || Linear function ||
 * Correlation coefficient || Polynomial function ||
 * Degree of a polynomial || Quadratic function ||
 * Free-fall || Vertex of a parabola ||

**Objectives**
You will be able to construct and graph power functions of the form and use them to model behavior in real world problems.
 * Key Ideas**
 * Concave down || Direct Variation ||
 * Concave up || Inverse variation ||
 * Constant of proportion || Monomial function ||
 * Constant of variation || Power function ||

**Objectives**
You will be able to graph polynomial functions of degree higher than 2 using graphing technology. You will be able to use the technology to find zeros and relative extrema, analyze end behavior, fit curves to data, and solve modeling problems.
 * Key Ideas**
 * Coefficient || Multiplicity of a zero of a polynomial ||
 * Cubic function || Polynomial interpolation ||
 * Intermediate Value Theorem || Quartic function ||
 * Leading term of a polynomial || Term of a polynomial ||

**Objectives**
You will be able to divide polynomials using long division or synthetic division. You will be able to analyze the zeros of polynomials using the Factor Theorem, the Rational Zeros Theorem, and the Upper and Lower Bounds tests.
 * Key Ideas**
 * Factor Theorem || Remainder Theorem ||
 * Polynomial division || Synthetic division ||
 * Rational Zeros Theorem || Upper and lower bound tests for real zeros ||

**Objectives**
You will be able to add, subtract, multiply, and divide complex numbers and write the results in standard form. You will be able to evaluate reciprocals and absolute values of complex numbers and find complex zeros of quadratic functions.
 * Key Ideas**
 * Absolute value (modulus) of a complex number || Imaginary number ||
 * Additive identity || Imaginary unit //(i)// ||
 * Additive inverse || Multiplicative identity ||
 * Complex conjugate || Multiplicative inverse (reciprocal) ||
 * Complex number || Real and imaginary axes ||
 * Complex plane || Real and imaginary parts of a number ||
 * Discriminant of a quadratic equation || Standard //(a + bi)// form ||

**Objectives**
You will understand the Fundamental Theorem of Algebra and the Linear Factorization Theorem and be able to use them to find real and complex zeros of polynomials with real coefficients.
 * Key Ideas**
 * Complex conjugate zeros || Irreducible over the reals ||
 * Fundamental Theorem of Algebra || Linear Factorization Theorem ||

**Objectives**
You will be able to describe and produce the graphs of rational functions, identify their horizontal and vertical asymptotes, and analyze their end behavior.
 * Key Ideas**

Rational function

**Objectives**
You will be able to solve rational equations both algebraically and graphically. You will be able to eliminate extraneous solutions. You will be able to model real-world problems with rational functions and solve the resulting equations.

Rational equations Extraneous solutions
 * Key Ideas**

**Objectives**
You will be able to solve inequalities involving polynomials and rational functions, both algebraically and graphically. You will be able to model real-world problems with such inequalities and solve them.
 * Key Ideas**

Rational inequality Sign chart