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Section P.2

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Group C

Section P.2

- Graph of Equation: The set of all solution points of an equation
- Rewrite the equation so that one of the variables is isolated on one side
- Make a table of several solution points
- Plot these points in the Cartesian plane
- Connect the points with a smooth curve

First, make a table of values by choosing values of x and calculating the values of y

Now plot the corresponding points

- Rewrite the equation so y is isolated
- Enter the equation into the utility
- Determine a viewing window that shows all important features of the graph
- Graph equation

- The graph of x2 + y2 = 9 is a circle whose center is at the origin and radius is 3. To graph the equation, solve for y.
- x2 + y2 = 9
- y2 = 9 - x2
- y = √9 - x2
- The graph of y = √9 - x2 is the top half
- The graph of y = -√9 - x2 is the bottom half

Enter both equations into the calculator and generate the graph. If you use the standard viewing window the graph may not appear to be a circle, by changing the viewing window to a square setting you can overcome this.

- A runner runs a constant rate of 4.9 mph. (Distance = Rate x Time)
- d = 4.9t
- Determine how far a runner can run in 3.1 hours
- How long will it take to run a 26.2 mile marathon?

- Substitute 3.1 hours for t
- d = 4.9(3.1)
- d = 15.2 miles
- In 3.1 hours the runner could run 15.2 miles

- d = Rt
- d/R = t
- 26.2m / 4.9mph = t
- t = 5.3 hours

- It would take about 5.3 hours to run a 26.2 mile marathon