Functions
Overview
Meet functions. You'll learn that a function pairs each input with exactly one output, use the vertical line test, and compare linear and nonlinear functions from tables, graphs, and equations.
Your progress
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About this unit
How to work through it
- A function assigns exactly one output per input, test with tables.
- Plot points carefully; use a ruler for lines when graphing.
- Function notation f(x) means substitute x into the rule.
- Compare functions using tables and graphs side by side.
- Complete exercises before watching solutions.
You should be able to
- Determine whether a relation is a function.
- Evaluate functions using notation and tables.
- Graph functions from tables and simple rules.
- Compare rates of change from graphs.
Key words
- Function
- A rule that assigns exactly one output to each input.
- Input / output
- The value you put in (x) and the value you get out (y).
- Vertical line test
- If a vertical line hits a graph more than once, it is not a function.
- Linear function
- A function whose graph is a straight line; can be written y = mx + b.
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