3. Function Notation
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Let's 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 g(x) will give us the corresponding values from the range.
| x | g(x)=- x+4 | Simplify |
|---|---|---|
| 0 | g( 0)=-( 0)+4 | g(0)= 4 |
| 2 | g( 2)=-( 2)+4 | g(2)= 2 |
| 4 | g( 4)=-( 4)+4 | g(4)= 0 |
Using these x and g(x) values as ( x, g(x)) coordinate pairs, we can plot the points. Connecting these points will give us the graph of the function.