3. Function Notation
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We can graph the linear function using a table. First, select some arbitrary values from the domain, then substitute them for x in the given function. Solving for f(x) will give us the corresponding values from the range.
| x | f(x)=3x-2 | Simplify |
|---|---|---|
| 0 | f( 0)=3( 0)-2 | f(0)= -2 |
| 1 | f( 1)=3( 1)-2 | f(1)= 1 |
| 2 | f( 2)=3( 2)-2 | f(2)= 4 |
Using these x and f(x) values as ( x, f(x)) coordinate pairs, we can plot the points. Connecting these points will give us the graph of the function.