Graphical Displays

1
Graphical Displays
Graphical Methods
2
Graphical MethodsIntroduction
Graphical Displays

• A graph is one of the most effective
  representations of the relationship between two
  variables.
• The independent variable (one controlled by the
  experimenter) is usually placed on the x-axis.
• The dependent variable (one that responds to
  changes in the independent variable) is usually
  placed on the y-axis.

3

• The dependent variable (one that responds to
  changes in the independent variable) is usually
  placed on the y-axis.

The independent variable (one controlled by the
experimenter) is usually placed on the x-axis.
4
The dependent variable
The independent variable
It is important for you to be able interpret a
graphical relationship and express it in a
written statement and by means of an algebraic
expression.
5
(No Transcript)
6

• Is there a relationship between mass and force?
• You will collect data today to allow you to prove
  your answer
• Describe the relationship in words.
• Let the force guide you.
• Hint the force is your graph

7
Collecting Data

• Observation Mass Force
• 1
• 2
• 3
• 4
• 5
• 6

8

• Plot the following matched pairs
• (3,2)
• (4,-1)
• (0,2)
• (5,5)
• (5,-2)
• (-2,-2)
• (-4,3)

coordinates
9
A linear function is a function of the form
f(x)mxb
The graph of a linear function is a line with a
slope m and y-intercept b.
10
The Equation of a Line
ymxby11x
o
o
If x0 then y1 gt the value of y is called the y
intercept in the eq. ymxb this is b The slope
of a line is defined as the change in y for a
given change in x. We write this as in the
equation ymxb this is m.
11
(No Transcript)
12
Slope m of a nonvertical line may be viewed as
13
The y intercept of nonvertical line may be viewed
as the y value when x0.
14
Find the value of y1 given x1.
y1
x1
15
Find the value of y1 given x1.
y3x2 If x14 then y134214
y1
x1
16
L
y
x