Presentation Transcript
Different Types of Functions: Different Types of Functions Algebra 1
DeAnn Rompf
All data retrieved from:
Boggs, R. (1999). Exploring Data. Retrieved January 20, 2008: http://exploringdata.cqu.edu.au/
Objectives: Objectives The learner will be able to distinguish between functions and non-functions.
The learner will be able to describe the difference between linear and non-linear functions when looking at a graph and when evaluating a data set.
Which of the following are functions?: Which of the following are functions?
Review of Prior Learning: Review of Prior Learning What makes something a function?
Graph
Mapping
Table
For each value of X, there is only
ONE
value for Y
Types of Functions: Types of Functions Curves
Quadratic
Cubic
Exponential
Power
Logarithmic
Lines
Galileo's Gravity and Motion Experiment: Galileo's Gravity and Motion Experiment
Over 400 years ago, Galileo conducted a series of experiments on the paths of projectiles, attempting to find a mathematical description of falling bodies. One data set is shown on the following slide.
The experiment consisted of rolling a ball down a grooved ramp that was placed at a fixed height above the floor and inclined at a fixed angle to the horizontal. In this experiment the ball left the end of the ramp and descended to the floor. Galileo altered the release height of the ball (h) and measured the distance (d) the ball traveled before landing.
Data and Graph: Data and Graph
Gas Prices: Gas Prices
Gas Price Graph: Gas Price Graph
World PopulationYear to Population in Billions: World Population Year to Population in Billions
Population Graph: Population Graph
A student standing on the top of the bleachers throws a football across the field. The table gives the height (Ht.) of the ball in feet versus the seconds (T) since the ball was thrown.: A student standing on the top of the bleachers throws a football across the field. The table gives the height (Ht.) of the ball in feet versus the seconds (T) since the ball was thrown.
Data Set One: Data Set One
Data Set Two: Data Set Two
Graphs of One and Two: Graphs of One and Two
Summary: Summary Review function properties
Generalize similarities and differences in various types of functions, specifically quadratic and linear
Preview linear functions
Homework: Find pictures of 4 examples of functions in real life.