Lesson Five: Points of Intersection of Exponential Functions

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Lesson Five: Points of Intersection of Exponential Functions
Using the graphing calculators, graph the two functions and determine their point of intersection.
The first example is a practice example with a solution provided. The remaining you will have to do by
yourself.
1. Using the graphing calculator, find the intersection point of y  2  x and y  4 x 3 .
Follow the instructions below. Your graph should resemble the one below.

House

2(Graphs & G…..)

4

^

(x+3)

Enter

Menu

2 (view)

6(show entry line)

2

^

(-)

x

Enter
Now, to find the intersection point, follow the instructions below:

Menu

6 (points and lines)

1 (point)

Enter

Move cursor until you are as close as possible to the intersection point and the calculator
displays the words “intersection point.”

Read the answer off the screen and write it down here ____________
2. Using the graphing calculator, find the intersection of y  3 x and y  9 x  2
Sketch your result on the grid provided.
Write the intersection point here: _______
3. Using the graphing calculator, find the intersection of y  8 x and y  2 x 3 .
(Note: you may need to change the window settings. See below.)
Sketch your result on the grid provided.
Write the intersection point here: _______
To change the window settings follow the steps below.

Menu

4 (Window)

1 (Window Settings)

Enter

Change the xMin, xMax, yMin, yMax, using the keypad and the left cursor on the central “wheel”,
but leave xScale and yScale on “Auto.”
Hw. Do the questions in THIS order. P. 72-73 #8,9,4ab,6,5ab,7,2,3
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