TOPIC MASTERY OBJECTIVE

Students will be able to...
VIDEO SURVEY PROBLEM SET ADDITIONAL RESOURCES

Function Notation

identify function notation.

evaluate function notation.

solve equations written in function notation.

Interval & Set Notation

recognize and write intervals of values when using interval notation.

recognize and write the correct symbols when using set notation.

Domain & Range

determine the domain and range of a function from its graph.

Finding Domain Algebraically

determine the restrictions on a function's inputs.

determine the domain of a function from its equation.

Increasing, Decreasing & Extrema

identify the increasing and decreasing intervals of a function.

identify local & absolute maximum values of a function.

identify local & absolute minimum values of a function.

Piecewise Functions

graph a piecewise function given the equation.

write the equation of a piecewise function given a graph.

Absolute Value Functions

graph an absolute value function.

Translating Functions

change the equation of a function to represent multiple translations.

translate a given graph.

Function Composition

compose two functions together.

determine two possible functions that, when composed, yield a given function.  Inverse Relations

find the inverse of a function given its equation, table, or graph.

determine if two functions are inverses of each other. Recursive vs. Explicit Formulas

Write a rule to represent a sequence of values following a set pattern based on previous terms.

Write a rule to represent a sequence of values following a set pattern based on a specific term number.

Arithmetic Sequences

Represent arithmetic (linear) sequences with recursive and explicit formulas.

Use recursive and explicit formulas to determine the value of a specific term of an arithmetic sequence.

Review

Graphing Calculator:
Entering Functions & Adjusting the Window
Enter functions correctly into the graphing calculator.

Determine an appropriate window to see all important characteristics of a function
.

Graphing Calculator:
Intersections, Extrema & Zeros
Identify the extrema of a function and calculate its values using the TI-84.

Calculate the intersection of two functions using the TI-84.

Calculate the zeros of a function using the TI-84. Review  