K12MATH013: Calculus AB

Upon successful completion of this unit, you will be able to:

• Explain the relationship between geometric and analytic information of a function given by a formula or graph (both with and without a calculator).
• Predict and explain the observed local and global behavior of a function.
• Demonstrate an intuitive understanding of the limiting process.
• Calculate limits using algebra (both with and without a calculator).
• Estimate limits from graphs or tables of data.
• Demonstrate understanding of asymptotes in terms of graphical behavior.
• Describe asymptotic behavior in terms of limits involving infinity.
• Compare relative magnitudes of functions and their rates of change (for example: logarithmic vs. exponential vs. polynomial growth).
• Show an intuitive understanding of continuity.
• Define and explain continuity in terms of limits.
• Show a geometric understanding of graphs of continuous functions by applying both The Intermediate Value Theorem and The Extreme Value Theorem.