Casio ED-WKBK-PRECALC Datasheet download pdf (Page 48)

Solutions

2. (0.5,

−6.25)

Nothing unusual should be seen. The function is continuous.

4. The limit is -6.25, the vertical value of the vertex. Answer will vary; care

should be taken to point out that simply tracing to a value is not confirmation

enough and can be tricky. Direct substitution is a valid explanation. A good

answer might also include a mention of “passing through” or even a mention

of continuity.

[Note: The discontinuity will not be immediately apparent.]

6. The limit is

−6.25.

7. Answers may vary as students begin to get the idea that the change in the

definition of the function may be creating some problems, although not with

the limit. This is a good checkpoint for the understanding of what it means to

be a “limit.”

8. [Note: the point becomes more visible.]

9. All three limits are

−6.25, although some students may try to refine the

answers to longer decimals. This provides another good opportunity to stress

the idea of “limit” as the value the function approaches.

10. g(0.5) =

−6, a value different from the limit.

Activity 4 • Calculus with the Casio fx-9750GII

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Casio ED-WKBK-PRECALC Datasheet Page 48