# Always, Sometimes, or Never True Solve for xLimitsDerivatives 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 Hardtke Jeopardy Template 2011.

## Presentation on theme: "Always, Sometimes, or Never True Solve for xLimitsDerivatives 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 Hardtke Jeopardy Template 2011."— Presentation transcript:

Always, Sometimes, or Never True Solve for xLimitsDerivatives 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 Hardtke Jeopardy Template 2011 Click here for game DIRECTIONS

10 Always, Sometimes, or Never

A rational function f has an infinite discontinuity. Click to check answer SOMETIMES Hint: it might have only a removable discontinuity. Click to return to game board 20 Always, Sometimes, or Never

For f(x) = e x as x, f(x) 0. Click to check answer NEVER Hint: As x, f(x) As x -, f(x) 0 Click to return to game board 30 Always, Sometimes, or Never

SOMETIMES Hint: true when f is continuous at a. Click to return to game board 40 Always, Sometimes, or Never

If f(0) = -3 and f(5) = 2, then f(c) = 0 for at least one value of c in (-3, 2). Click to check answer SOMETIMES Hint: IVT will prove this true only if is continuous over that interval. Click to return to game board 50 Always, Sometimes, or Never

10 Solve for n

3 Hint: 4n + n = 12 + n when n = 3 Click to return to game board 20 Solve for n

30 Solve for n

40 Solve for n

50 Solve for n

10 Limits

20 Limits

30 Limits

40 Limits

50 Limits

nx n-1 Hint: This is the Power Rule Click to return to game board 10 Derivatives

20 Derivatives

12 Hint: for f(x) = x 3, you must recognize this as f (2) where f (x) = 3x 2 and thus f (2x) = 3(4) = 12 Click to return to game board 30 Derivatives

40 Derivatives

50 Derivatives

Jeopardy Directions Any group member may select the first question and students rotate choosing the next question in clockwise order regardless of points scored. As a question is exposed, EACH student in the group MUST write his solution on paper. (No verbal responses accepted.) The first student to finish sets down his pencil and announces 15 seconds for all others to finish working. After the 15 seconds has elapsed, click to check the answer. – IF the first student to finish has the correct answer, he alone earns the point value of the question (and no other students earn points). – IF that student has the wrong answer, he subtracts the point value from his score and EACH of the other students with the correct answer earns/steals the point value of the question. (Those students do NOT lose points if incorrect, only the first student to ring in can lose points in this version of the game.) Each student should keep a running total of his own score. Good sportsmanship and friendly assistance in explaining solutions is expected! Reviewing your math concepts is more important than winning. Return to main game board

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