ex2.1_3

Example

$y=x^2$ . Plot them and sketch the graph.

Solution

$x$ $y$ $y$ $x$ $x$ $y$ 's.)

x=0 \quad \Longrightarrow \quad y=(0)^2=0 \quad \Longrightarrow \quad (0,0)\\[0.25 in] x=-1 \quad \Longrightarrow \quad y=(-1)^2=1 \quad \Longrightarrow \quad (-1,1)\\[0.25 in] x=1 \quad \Longrightarrow \quad y=(1)^2=1 \quad \Longrightarrow \quad (1,1)\\[0.25 in] x=-2 \quad \Longrightarrow \quad y=(-2)^2=4 \quad \Longrightarrow \quad (-2,4)\\[0.25 in] x=2\quad \Longrightarrow \quad y=(2)^2=4 \quad \Longrightarrow \quad (2,4)

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 the equation y is equal to x squared including five plotted points