Learning Goal
Function composition f(g(x))
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
**F 604.** Evaluate composite functions at integer values
**F 708.** Write an expression for the composite of two simple functions
**F 401.** Evaluate linear and quadratic functions, expressed in function notation, at integer values
**A 505.** Add, subtract, and multiply polynomials
**A 513.** Determine when an expression is undefined
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F 604. Evaluate composite functions at integer values
F 708. Write an expression for the composite of two simple functions
F 401. Evaluate linear and quadratic functions, expressed in function notation, at integer values
A 505. Add, subtract, and multiply polynomials
A 513. Determine when an expression is undefined
What you'll learn
- Evaluate a composite function at an integer input by working inside out, writing the intermediate value explicitly
- Write the simplified expression for $f(g(x))$ by substituting $g(x)$ into $f$'s input slot
- Demonstrate numerically and symbolically that $f(g(x))$ and $g(f(x))$ are generally different, and state that composition is not commutative
- Read the notation $(f \circ g)(x)$ and identify which function acts first
- Determine when an input is invalid for a composite because the inner function's output is invalid for the outer function
Slides
Step through the lesson, or watch it as a narrated video
Slides
In development
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