Chapter 11: Functions

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

1. $y=\dfrac{1}{x}$Scaling:
$x$-axis: 1 square = 1
$y$-axis: 1 square = 1

$x$ $y$
10
8
5
4
2
1
0.5
0.25
0.2
0.125
0.1
2. $x^2+y^2=9$Scaling:
$x$-axis: 2 squares = 1
$y$-axis: 2 squares = 1

$x$ $y$
3
2.5
2
1.5
1
0.5
0
−0.5
−1
−1.5
−2
−2.5
−3
3. $y= |-2x|$Scaling:
$x$-axis: 1 square = 1
$y$-axis: 1 square = 1

$x$ $y$
5
4
3
2
1
0
−1
−2
−3
−4
−5
4. $x=-3 |\text{sin }y |$Scaling:
$x$-axis: 2 squares = 1
$y$-axis: 1 square = 30°

$x$ $y$
180°
150°
120°
90°
60°
30°
−30°
−60°
−90°
−120°
−150°
−180°