Module Three : Algebraic Analysis (intercepts, evaluating, composition)

Unit Outcomes

At the end of this unit, you will be able to:

  1. Find x and y intercepts algebraically

  2. Evaluate functions algebraically

  3. Compose functions numerically

  4. Compose functions algebraically


Questions we will explore together...

Over the next two weeks, I'd like you to consider these questions:

  • How can I use what I know about x and y intercepts to find the x and y intercepts of a function, using Algebra?

  • Can I read function notation and find a missing value(s)? How do I know what value to find, x or f(x)?

  • How can I perform a numeric composition of functions algebraically?

  • How can I perform a composition of two functions to create a new function?


Important vocabulary you'll need to know...

Academic Vocabulary

Calculate Describe Explain Evaluate Justify


Relationship Represent Find Perform Simplify

Content Vocabulary

x-Intercepts y-intercept Solutions Function


Composition of Functions Absolute Value Quadratic Linear


Exponential Cubic Square Root Graphical


Parent Functions Input Output