Unit 2: What Are Functions?
At the end of this unit, you should be able to:
1. determine if a relation is a function (given a graph, a set of ordered pairs, or a mapping diagram) - Vertical Line Test
2. evaluate a function given a value (numeric and algebraic)
3. find the domain of a function given an equation
4. obtain information from the graph of a function
5. obtain information about the graph of a function from the equation of the function
6. use the difference quotient
7. calculate the average rate of change between two points on a function (non-linear) - apply to word problems
8. define the term limit
9. Evaluate limits given a graph of a function
10. Determine if a function is discontinuous at a point and define the type of discontinuity (jump, infinite, removable)
11. calculate instantaneous rate of change using the definition of the derivative (limit of the difference quotient)
Helpful Videos:
Limit From a Graph Video - - - After watching the video, click here to practice.
Another Limit From a Graph Video - - - After watching the video, click here to practice.
Great Video on the Difference Quotient and Average Rate of Change
What is a Function?
Evaluating a Function
Evaluating a Function (another example)
Even and Odd Functions
Graphs of Functions
Notes
Unit 2 Note Guide (word document)
Domain and Range Homework Assignment - Graphs
1. determine if a relation is a function (given a graph, a set of ordered pairs, or a mapping diagram) - Vertical Line Test
2. evaluate a function given a value (numeric and algebraic)
3. find the domain of a function given an equation
4. obtain information from the graph of a function
5. obtain information about the graph of a function from the equation of the function
6. use the difference quotient
7. calculate the average rate of change between two points on a function (non-linear) - apply to word problems
8. define the term limit
9. Evaluate limits given a graph of a function
10. Determine if a function is discontinuous at a point and define the type of discontinuity (jump, infinite, removable)
11. calculate instantaneous rate of change using the definition of the derivative (limit of the difference quotient)
Helpful Videos:
Limit From a Graph Video - - - After watching the video, click here to practice.
Another Limit From a Graph Video - - - After watching the video, click here to practice.
Great Video on the Difference Quotient and Average Rate of Change
What is a Function?
Evaluating a Function
Evaluating a Function (another example)
Even and Odd Functions
Graphs of Functions
Notes
Unit 2 Note Guide (word document)
Domain and Range Homework Assignment - Graphs