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- Unit 1: Basic Functions and Equations
- Unit 2: Polynomial Functions and Equations
- Unit 3: Rational Functions and Equations
- Unit 4: Exponential Functions and Equations
- Unit 5: Logarithmic Functions and Equations
- Unit 6: Conic Sections
- Unit 7: Rotations and Cyclical Functions
- Unit 8: Cyclical Patterns and Periodic Functions
- Unit 9: Trigonometric Equations
- Unit 10: Matrices
- Unit 11: Review
- Unit 12: Fundamentals of Trigonometry

- LESSON 1: Getting to Know You, Getting to Know All About You...
- LESSON 2: Ahoy team! What can you see? Finding functions.
- LESSON 3: Function Zoo - Basic Function Families
- LESSON 4: Parent Functions
- LESSON 5: Shifting Functions: How do they move?
- LESSON 6: Shifting Functions: How can we describe them?
- LESSON 7: Dicey Functions Day 1: Piecewise functions are basic functions... just cut up!
- LESSON 8: Dicey Functions Day 2: Piecewise functions are basic functions... just cut up!
- LESSON 9: Fun with Functions: Basic Inverse and Function Operations
- LESSON 10: Compositions in Context
- LESSON 11: Inundated with Inverses: Restricting the Range of an Inverse (Day 1 of 2)
- LESSON 12: Inundated with Inverses: Algebraic Inverse and Composition to Verify (Day 2 of 2)
- LESSON 13: Jeopardy: Basic Functions
- LESSON 14: Review Day
- LESSON 15: Test Review
- LESSON 16: Basic Functions Test

Objective

Test Review

SWBAT the basic functions covered in this unit to prepare for the unit exam.

Students work together to review for the upcoming test.

Lesson Author

Tiffany Dawdy

Phoenix, AZ

Grade Level

Twelfth grade

Subjects

Math

Function Operations and Inverses

inverse functions

Precalculus and Calculus

Standards

HSA-CED.A.1

Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

HSA-CED.A.2

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

HSF-IF.A.2

Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

HSF-IF.C.7a

Graph linear and quadratic functions and show intercepts, maxima, and minima.

HSF-IF.C.7b

Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.

HSF-BF.A.1c

(+) Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.

HSF-BF.B.3

Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

HSF-BF.B.4

Find inverse functions.

HSF-BF.B.4a

Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) =2 x<sup>3</sup> or f(x) = (x+1)/(x–1) for x ≠ 1.

HSF-BF.B.4b

(+) Verify by composition that one function is the inverse of another.

HSF-BF.B.4c

(+) Read values of an inverse function from a graph or a table, given that the function has an inverse.

50 minutes

Unit 1 Review.doc