# Displaying Data and Graphing

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```					          Sig Fig Warm Up
How many sig figs
in:
• 2                 How many sig figs the answer:

• 2.0                • 2.00 × 5.0

• 0.2                • 10.000 ÷ 5.0

• 0.020              • 0.02 + 5.00

• 2.020              • 2.00 - 0.5

• 2.00 - 5.0
Convert….
• 5 mm / day
• to km / s
Calculator Tips
• the “ans” button….               press: ‘2nd’, ‘-’

• veeeeeery useful
to solve:
7           punch
in
3.14  562  4 1.2           then   7 / Ans
2
3.14  56  4  1.2

• the “EE” button        press: ‘2nd’, ‘comma’)

• replaces “x10^”

5.12 x 1016 = 5.12e16
Calculator Tips
• the “Math” button….

• fraction / decimal converter
• equation Solver!

• the “Apps” button….

• check out “Sci Tools”

• has as a “Sig Fig” and “Sci Notation” calculator
Displaying Data
and Graphing
Homework
yep…right off the bat…

M U LTI          coloured pens!
• Before we begin graphing we must
determine the variable types as either
independent variables or dependent
variables
– Independent variables are the ones we can
manipulate (x-axis)
– Dependent variables are the ones that
respond to the manipulation (y-axis)

• Example: A car drives at a certain speed,
brakes and travels a certain distance before
it comes to a full stop.
– What are the two variables?
– Which is independent and which is
dependent?
Graphing Rules
– independent variable goes on x-axis and
dependent goes on y-axis
– determine the range of both variables and
label both axes accordingly
– decide whether the origin (0,0) is a valid
data point
– plot data points
– draw a best fit straight line or smooth curve
(do not do dot to dot)
– give graph and axes a clear title that tells
what it represents
Graph Types
Linear (or direct) Relationships
– the dependent variable varies linearly**
with the independent variable in the form:
y = mx + b

** if you double one, the other one doubles,
if you triple one, the other one triples, etc.

• b = y-intercept (where line crosses y-axis)
• m = slope:
rise y y f  yi
    
run x x f  x i
Graph Types
Linear Relationships   “directly proportional”

y∝x

y = kx
Graph Types
y ∝ x2

y = kx2

it’s (half) a parabola
Graph Types
Inverse Relationships            “inversely proportional”

y ∝ x-1

y = kx-1 = k x .
1

asymptotic

if you double one, the other one halves,
if you third one, the other one triples, etc.
Homework
• Graphing Worksheet

That’s it!

```
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