ex2.1_1

Example

$y=x-1$ . Plot them and sketch the graph.

Solution

$x$ $y$ -values.

x=0 \quad \Longrightarrow \quad y=(0)-1=-1 \quad \Longrightarrow \quad (0,-1)

x=-3 \quad \Longrightarrow \quad y=(-3)-1=-4 \quad \Longrightarrow \quad (-3,-4)

x=2.75 \quad \Longrightarrow \quad y=(2.75)-1=1.75 \quad \Longrightarrow \quad (2.75,1.75)

x=-5.1 \quad \Longrightarrow \quad y=(-5.1)-1=-6.1 \quad \Longrightarrow \quad (-5.1,-6.1)

x=7 \quad \Longrightarrow \quad y=(7)-1=6 \quad \Longrightarrow \quad (7,6)

Now we'll take the five points we found, plot them, and draw a smooth curve through the points. Our smooth curve should generalize the behavior we expect from the set of all solutions.

The graph of a line including five labeled points