Extend: Graphing Technology Lab, Graphing Linear Functions
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To sketch the graph, you need two points.
Graphing Calculator:
Sketch:
We are asked to graph the given function on our calculator. Before we can make our graph, we have to write the equation in slope-intercept form.
To graph the function we press Y= on our calculator, and then we write the equation in one of the rows.
We are now going to sketch this graph. To do that we need two points through which the graph passes. Let's pick two arbitrary x-values, and use the function rule to calculate the corresponding y-values.
| x | y=- 3x+5 | y | (x,y) |
|---|---|---|---|
| 0 | y=- 3( 0)+5 | 5 | ( 0, 5) |
| 1 | y=- 3( 1)+5 | 2 | ( 1, 2) |
Let's plot our two points in a diagram.
Next, we draw a line through the two points using a ruler and a pencil.
We now have a sketch of the graph.
