Datasheet

A Graphical Look At Continuity Activity
This activity will have you explore the concept of continuity at a point. It will also
allow you to discover that simply having a limit at a point will not guarantee that the
function is also continuous. Using the CASIO
fx-9750GII, you will be working in
pairs or small groups.
Questions
Explore the behavior of the function f(x) = x
2
− x − 6 around the vertex.
1. Graph the function using the initial view window, changing Ymin to
−9.3 and
Ymax to 9.3, and copy on the axes below.
2. Find and record the vertex of the function.
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3. Trace to the vertex and zoom in, record what you see.
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4. What does the value of appear to be? Explain how you arrived at
that answer.
)x(flim
.x 50→
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Activity 4 • Calculus with the Casio fx-9750GII
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