Unit 6: Functions Webquest Worksheet

Please complete the worksheet. Answer all questions. Save it as a Word Document to your computer. Attach it to a kmail and send it back to Mrs. Stewart.

Due Date: Friday, June 5, 2015 at midnight

Task 1

  1. Explain the easiest way to see if a relation represents a function (as stated in one of the videos) (3 pts.)
  1. What is the definition of a relation? (3 pts.)
  1. Write 2 examples of a relation using at least 5 ordered pairs. (3 pts.)

Example 1:

Example 2:

  1. What is the domain of a set or an ordered pair? What is the range? (3 pts.)

Domain:

Range:

  1. What is the definition of a function? (3 pts.)
  1. Explain the vertical line rule. (3 pts.)
  1. Explain how you would apply the vertical line rule to a function that looks like this. (3 pts.)

Explanation:

Is this a function? (Yes or No)

  1. Explain how you would apply the vertical line rule to a function that looks like this.You may write on the graph if you wish. (3 pts.)

Explanation:

Is this a function? (Yes or No)

Task 2:

  1. Create a set of values that would be an example of a function. Do this in TABLE FORM. You must have at least 5 pairs. Explain why it is a function.(3 pts.)
  1. Create an example of a set of values that would NOT be an example of a function. Do this

by making a list of the ORDERED PAIRS. (You must have at least 5 ordered pairs.)

Explain why it is not a function.(3 pts.)

Task 3:

  1. Explain in words what is meant by Function Notation (4 pts.)

Give 3 examples of an equation written in function notation

Example 1:

Example 2:

Example 3:

  1. Explain in words what it means to evaluate a function. You may show an example, but you must also use words to explain. (3 pts.)

Task 4: Evaluate and simplify (where applicable) these functions. Show ALL your work.(5 pts. each)

  1. f(x) = 2x + 6 Evaluate f(2)
  1. f(x) = 3x Evaluate f(a + 1)
  1. f(x) = 3x – 1 and g(x) = 5x + 3Evaluate f(2) + g(3)
  1. h(x) = x2 + 3x – 1Evaluate h(-3)
  1. f(x) = x3 +5xEvaluate f(9)
  1. f(x) = -4x - 3Evaluate f(-10)
  1. f(x) = x3 + 7x2 + 1Evaluate f(0)

Task 5: Applications of Functions: Graph 1 (10 pts.)

This function graph show the heightof a balloon over a period of minutes (be sure to include the correct units in your answers)

What was the highest height theballoon reached? (2 pts)

How many minutes did it take to reach the highest height? (2 pts)

What could explain what happenedto the balloon between minutes25 and 35? (2 pts)

During what time period(s) did the balloon descend? (2 pts)

What happened at minute 60? (2 pts)

Task 5: Applications of Functions: Graph 2 (10 pts.)

This function graph shows the inches of water in a bathtub over a period of minutes (Be sure to include the units in all of your answers)

How much water was in the tub to start?(2 pts)

For how many total minutes was the water level decreasing? (2 pts)

For how many total minutes was the water level increasing? (2 pts)

For how many total minutes was the water level unchanging? (2 pts)

What do you think is the maximum capacity of the bathtub? Explain your reasoning. (2 pts)

Task 5: Applications of Functions: Graph 3 (8 pts.)

This function graph shows Facebook’s stock price from May 18, 2014 to July 23, 2014. (be sure to include the units in all of your answers)

Describe the trend that you see here, with Facebook’s stock price.(2 pts)

Do a Google search: what does IPO stand for and what does it mean? (2 pts)

What do you think happened to Facebook stock price from August to December 2014?

Explain why you think that.(2 pts)

Would you invest your money in Facebook stock now? Explain why or why not. (2 pts)

Links: (Hold down the CTRL key and click together)

Functions and Relations:

Functions and Relations:

Function Notation:

Evaluating a Function: (stop at 6:50)