### MCCCD

- Find real and complex zeros of polynomial functions. (I-II)
- Calculate and interpret average rate of change. (I-III)
- Determine the inverse of a relation when represented numerically, analytically, or graphically. (I-IV)
- Analyze and interpret the behavior of functions, including domain and range, end behavior, increasing and decreasing intervals, extrema, asymptotic behavior, and symmetry. (I-V)
- Determine whether a function is one-to-one when represented numerically, analytically, or graphically. (I-V)
- Determine whether a relation is a function when represented numerically, analytically, or graphically. (I-V)
- Graph polynomial, rational, exponential, logarithmic, power, absolute value, piecewise-defined, and trigonometric functions. (I-V)
- Perform operations, including compositions, on functions and state the domain of the resulting function. (I-V)
- Solve polynomial, rational, exponential, logarithmic, and trigonometric equations analytically and graphically. (I-V)
- Use transformations to graph functions. (I-V)
- Communicate process and results in written and verbal format. (I-IX)
- Compare alternative solution strategies. (I-IX)
- Justify and interpret solutions to application problems. (I-IX)
- Model and solve real-world problems. (I-IX)
- Read and interpret quantitative information when presented numerically, analytically, or graphically. (I-IX)
- Find and evaluate inverse trigonometric functions. (IV-V)
- Use the definition and properties of trigonometric functions and formulas to solve application problems. (IV-VII)
- Verify trigonometric identities. (VI)

### Pima CC

**Precalculus I Student Learning Outcomes: **

**Upon successful completion of the course, the student will be able to:**

- Define functions and determine the domain and range. Perform operations on functions.
- Solve various types of equations and systems.
- Graph functions and inequalities.
- Solve problems involving real world applications.

**Performance Objectives: **

**Upon successful completion of the course, the student will be able to:**

- Solve quadratic, quadratic in form, absolute value, polynomial, rational, literal, and radical equations.
- Define a function by ordered pairs, a graph, and algebraically; use function operations and inverses; use transformations and determine symmetry.
- Graph polynomial and rational functions; predict the nature of the zeros of a quadratic function, and reconstruct a polynomial from its given zeros.
- Solve polynomial, rational, and absolute value inequalities.
- Graph exponential and logarithmic functions; solve exponential and logarithmic equations; and use curve fitting for explanation of arithmetic models.
- Understand end-behavior of a function in the context of limits.
- Solve linear systems algebraically, graphically, and using matrices; solve nonlinear systems graphically and algebraically.
- Use a graphing calculator to graph and analyze functions.

**Precalculus II Student Learning Outcomes: **

**Upon successful completion of the course, the student will be able to:**

- Solve trigonometric equations and verify trigonometric identities.
- Graph trigonometric functions, polar equations, and conic sections.
- Solve triangles and real world applications.
- Analyze sequences and series.

**Performance Objectives: **

**Upon successful completion of the course, the student will be able to:**

- Convert between radians and degrees measures; define, graph, and evaluate the six trigonometric functions and their inverses; solve trigonometric equations algebraically; and use trigonometric identities to simplify expressions and solve equations.
- Use the standard equations for conic sections and sketch their graphs; identify types of conic sections and determine their features.
- Graph polar equations; convert between rectangular and polar coordinates; obtain polar form of complex numbers and convert between the polar form and the standard form.
- Perform calculations involving vectors, including addition, scalar multiplication, finding magnitude, conversions between rectangular and polar form, and applications.
- Find the nth term of a sequence; calculate partial sums of arithmetic and geometric sequences; and use the Binomial Theorem to expand powers of binomials.
- Use a graphing calculator to evaluate, graph, and analyze functions.