What Is A Function
Activity 8.3 Combinations of Functions
Overview:
Students are given a table of values of braking distance and reaction distance for several speeds and asked to create a scatter plots of speed vs. braking and reaction distances. They are then asked to create a scatter plot of speed vs. total distance, which is the sum of braking and reaction distances, and to find the function that represents total distance.
Estimated Time Required:
The activity should take approximately 30 minutes.
Technology: None
Concepts:
• Creating and interpreting new functions by arithmetically combining given functions
Discussion:
This activity illustrates a real-world application of combinations of functions.
Activity 8.3 Combinations of Functions
The following table was compiled by Michael J. Shepston & Associates and contains data for stopping distances at various speeds. This information is based on full braking, on dry, level asphalt, with an average perception-reaction time of 1.5 seconds. Distances given were measured in feet. Complete the table for Total Distance.
|Speed |Braking |Reaction |Total |
|in MPH |Distance |Distance |Distance |
|10 |5 |22 | |
|15 |11 |33 | |
|20 |19 |44 | |
|25 |30 |55 | |
|30 |43 |66 | |
|35 |59 |77 | |
|40 |76 |88 | |
|45 |97 |99 | |
|50 |119 |110 | |
1. Make a scatter plot of Speed vs. Braking Distance.
[pic]
2. Find a function for the Braking Distance, B(x) that fits the data and graph it on the scatter plot above.
B(x) =
3. Make a scatter plot of Speed vs. Reaction Distance.
[pic]
4. Find a function for the Reaction Distance, R(x) that fits the data and graph it on the scatter plot above.
R(x) =
5. Make a scatter plot of Speed vs. Total Distance.
[pic]
6. Find the new function (B + R)(x) and graph it on the scatter plot above.
(B + R)(x) =
7. Does this new function fit the Speed vs. Total Distance data? Why or why not?
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related searches
- what is a linear function equation
- what is the function of dna
- what is a function relation in math
- which relation is a function of x
- what is a function in math
- what is the function of money
- what is a function math
- what is a recursive function in python
- what is the function of the thyroid
- what is the function of aldosterone
- what is the function of the prostate
- what is the function of mrna