Why It Matters: Function Basics
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- How are these values related to one another?
- How can you use them to make further predictions?
- What do they tell you about the motion of a falling object?
Time (s) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
Velocity (m/s) | 0 | 9.8 | 19.6 | 29.4 | 39.2 | 49.0 | 58.8 | 68.6 | 78.4 |
Distance (m) | 0 | 4.9 | 19.6 | 44.1 | 78.4 | 122.5 | 176.4 | 240.1 | 313.6 |
Chart shows the correlation between time (seconds 1-8), velocity and distance.
In this module, you’ll find out how to answer these questions. It turns out that both velocity and distance can be described by functions. Read on to find out what a function is, how a function can be described, and what you can do to evaluate a function.Learning Objectives
Characteristics of Functions and Their Graphs- Determine whether a relation represents a function.
- Find the value of a function.
- Determine whether a function is one-to-one.
- Use the vertical line test to identify functions.
- Graph the functions listed in the library of functions
Domain and Range of Functions
- Find the domain of a function defined by an equation
- Write Domain and Range Using Standard Notations
- Find Domain and Range from a Graph
- Define Domain and Range of Toolkit Functions
- Graph Piecewise-Defined Functions
Rates of Change and Behavior of Graphs
- Find the average rate of change of a function.
- Use a graph to determine where a function is increasing, decreasing, or constant.
- Use a graph to locate local maxima and local minima.
- Use a graph to locate the absolute maximum and absolute minimum.