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Finding the intersection of two functions.
Write the points of intersection (make sure you find the points numerically in the table and graphically using menu, pts and lines, intersection).
What do the points of intersection mean?
Justify your points of intersection algebraically:
Comparing two functions and finding values.
Find:
f1(3)=
f1(-1)=
f1(x) = 5 when x = ?
g1(-1)=
g1(2)=
WHEN g1(x) = f1(x)
WHEN is f1(x) > g1(x)? Explain algebraically, graphically, and in words.
On page 2.3, create a data table by capturing values (slide the vertical line across the page) and placing the x values in column A, f1(x) values in column B, and the g1(x) values in column C.
In column D, generate the sequence B C.
What does this column of information tell you when comparing the two functions?
Create a scatter plot on the next page and explain how the graph tells the story of B C and how this relates to your in part i.
On page 2.5, generate the sequence B + C in column E (move columns over so you can see columns A, B, C, and E).
What does this column of information tell you when comparing the two functions?
Create a scatter plot on the next page and explain how the graph tells the story of B + C and how this relates to your answer in part i.
Combining two functions
Go back to page 2.3 and look at the sequence B C (located in column D.
Can you write the new equation to represent B - C?
Write the new equation as h1(x) on the same page as the scatter plot.
Go back to page 2.5 and look at the sequence B + C (located in column E).
Can you write the new equation to represent B - C?
Write the new equation as h1(x) on the same page as the scatter plot.
Summarize what you have learned doing this activity
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