always, sometimes, or never true solve for xlimitsderivatives 10 20 30 40 50 10 20 30 40 50 10 20 30...
TRANSCRIPT
Always,Sometimes,
or Never TrueSolve for x Limits Derivatives
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50Hardtke Jeopardy Template 2011Click here for game DIRECTIONS
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SOMETIMESHint: Not true if
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10 Always, Sometimes, or Never
A rational function f has an infinite discontinuity.
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SOMETIMESHint: it might have only a removable discontinuity.
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20 Always, Sometimes, or Never
For f(x) = e x
as x ∞ , f(x) 0.Click to check answer
NEVERHint: As x ∞, f(x) ∞
As x - ∞, f(x) 0Click to return to game board
30 Always, Sometimes, or Never
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SOMETIMESHint: true when f is continuous at a.
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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
SOMETIMESHint: IVT will prove this true only if is continuous over that
interval.
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50 Always, Sometimes, or Never
f(x) = has an infinite discontinuity at n.
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2Hint: f(x) = has a
removable discontinuity at -2 and an infinite discontinuity at 2.
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10 Solve for n
f is continuous for this value of n.
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3Hint: 4n + n = 12 + n when n = 3
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20 Solve for n
For f(x) = as x – ∞ , f(x) n
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– 5 As x – ∞ , f(x) ≈ – 5
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30 Solve for n
= nClick to check answer
16 = 16
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40 Solve for n
Given polynomial function f, wheref(8) = -2 and f(-2) = 3, then there exists
at least one value of c (-2, n)such that f(c) = 0.
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Hint: By IVT there must be an x-coordinate between -2 and 8 that produces a y-coordinate between -2 and3.
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50 Solve for n
Given Find .
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d.n.e.As x 0 -, f(x) ∞. As x 0 +, f(x) - ∞
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10 Limits
Given
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-1Click to return to game board
20 Limits
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30 Limits
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40 Limits
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50 Limits
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nxn-1
Hint: This is the Power RuleClick to return to game board
10 Derivatives
> 0 only on intervals where f(x) is ____.
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Hint: rising or going up or has a positive slope are acceptable
but not as nice
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20 Derivatives
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12Hint: for f(x) = x3, you must recognize this as f ‘ (2) where f ‘(x) =
3x2 and thus f ‘(2x) = 3(4) = 12
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30 Derivatives
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Hint: divide first then use Power Rule on each term 4)
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40 Derivatives
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Hint: Subtract exponents first.
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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.
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