11.9 Your Next Year’s Valentine?

Fill in the data tables and draw the graphs for each. Use the suggested scaling for each axis.

1. [latex]y=\dfrac{1}{x}[/latex]Scaling:
   [latex]x[/latex]-axis: 1 square = 1
   [latex]y[/latex]-axis: 1 square = 1

   [latex]x[/latex]	[latex]y[/latex]
   10
   8
   5
   4
   2
   1
   0.5
   0.25
   0.2
   0.125
   0.1

2. [latex]x^2+y^2=9[/latex]Scaling:
   [latex]x[/latex]-axis: 2 squares = 1
   [latex]y[/latex]-axis: 2 squares = 1

   [latex]x[/latex]	[latex]y[/latex]
   3
   2.5
   2
   1.5
   1
   0.5
   0
   −0.5
   −1
   −1.5
   −2
   −2.5
   −3

3. [latex]y= |-2x|[/latex]Scaling:
   [latex]x[/latex]-axis: 1 square = 1
   [latex]y[/latex]-axis: 1 square = 1

   [latex]x[/latex]	[latex]y[/latex]
   5
   4
   3
   2
   1
   0
   −1
   −2
   −3
   −4
   −5

4. [latex]x=-3 |\text{sin }y |[/latex]Scaling:
   [latex]x[/latex]-axis: 2 squares = 1
   [latex]y[/latex]-axis: 1 square = 30°

   [latex]x[/latex]	[latex]y[/latex]
   	180°
   	150°
   	120°
   	90°
   	60°
   	30°
   	0°
   	−30°
   	−60°
   	−90°
   	−120°
   	−150°
   	−180°

Answer Key 11.9