Welcome to College Algebra!
Analysis and interpretation of the behavior and nature of functions including polynomial, rational, exponential, logarithmic, power, absolute value, and piece wise-defined functions; systems of equations, modeling and solving real world problems. Additional topics may include matrices, combinatorics, sequences and series, and conics.
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Official Course Competencies
By the time the student completes this course of study, the student will know or be able to:
1. Analyze and interpret the behavior of functions, including end behavior, increasing and decreasing,
extrema, asymptotic behavior, and symmetry.
2. Solve polynomial, rational, exponential, and logarithmic equations analytically and graphically.
3. Find real and complex zeros of polynomial functions analytically and graphically.
4. Graph polynomial, rational, exponential, logarithmic, power, absolute value, and piecewise-defined
5. Determine domain and range of polynomial, rational, exponential, logarithmic, power, absolute value,
and piecewise-defined functions.
6. Use transformations to graph functions.
7. Perform operations, including compositions, on functions and state the domain of the resulting
8. Determine whether a relation is a function when represented numerically, analytically, or graphically.
9. Determine whether a function is one-to-one when represented numerically, analytically, or
10. Determine the inverse of a relation when represented numerically, analytically, or graphically.
11. Classify functions by name when represented numerically, analytically, or graphically.
12. Determine regression models from data using appropriate technology and interpret results.
13. Read and interpret quantitative information when presented numerically, analytically, or graphically.
14. Justify and interpret solutions to application problems.
15. Compare alternative solution strategies.
16. Calculate and interpret average rate of change.
17. Model and solve real world problems.
18. Solve systems of three linear equations in three variables.
19. Solve systems of linear inequalities.
20. Communicate process and results in written and verbal formats.
- Passing grade in Algebra 3-4
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