welcome to jeopardy!
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Welcome to Jeopardy!. AP Calculus Contestants!. Can You Function in the Morning?. Too hip to be squared. Opposites Attract. I S aw the S ine. Call 911! We Need a Parametric. 100 200 300 400 500. 100 200 300 400 500. 100 200 300 400 500. 100 200 300 400 500. 100 200 - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Welcome to Jeopardy!](https://reader035.vdocuments.net/reader035/viewer/2022081603/5681365c550346895d9de937/html5/thumbnails/1.jpg)
Welcome to Jeopardy!
AP Calculus Contestants!
![Page 2: Welcome to Jeopardy!](https://reader035.vdocuments.net/reader035/viewer/2022081603/5681365c550346895d9de937/html5/thumbnails/2.jpg)
Call 911! We Need a
Parametric.
Too hip to be squared.
Can You Function in
the Morning?
Opposites Attract
I Saw the Sine.
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![Page 3: Welcome to Jeopardy!](https://reader035.vdocuments.net/reader035/viewer/2022081603/5681365c550346895d9de937/html5/thumbnails/3.jpg)
Graph the curve and determine the initial and terminal points, if any.
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And the Answer Is:
Back to the Board.
𝑰𝒏𝒊𝒕𝒊𝒂𝒍 𝒂𝒏𝒅𝑻𝒆𝒓𝒎𝒊𝒏𝒂𝒍 𝑷𝒐𝒊𝒏𝒕𝒔 :(𝟎 ,𝟓)8
6
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2
-2
-4
-6
-8
-10 -5 5 10
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Find a Cartesian equation for a curve that contains the parametrized
curve. What portion of the graph of the Cartesian equation is traced
by the parametrized curve?
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And the Answer Is:
Back to the Board.
All
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Find the values of t that produce the graph in Quadrant IV.
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And the Answer Is:
Back to the Board.
−𝟑<𝒕<𝟏
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Find a parametrization for the part of the graph that
lies in Quadrant I.
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Possible Answers Include:
Back to the Board.
![Page 11: Welcome to Jeopardy!](https://reader035.vdocuments.net/reader035/viewer/2022081603/5681365c550346895d9de937/html5/thumbnails/11.jpg)
Find a parametrization for the left half of
the parabola
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Back to the Board.
Possible Answers Include:
![Page 13: Welcome to Jeopardy!](https://reader035.vdocuments.net/reader035/viewer/2022081603/5681365c550346895d9de937/html5/thumbnails/13.jpg)
Rewrite the following
expression to have base 3:
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Back to the Board.
And the Answer Is:
𝟑−𝟑𝒙
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Determine how much time is required for an investment to triple in
value if interest is earned at the rate of 5.75% compounded
daily.
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Back to the Board.
And the Answer Is:
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If John invests $2300 in a savings account with
a 6% interest rate compounded annually,
how long will it take until John’s account has a balance of $4150?
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And the Answer Is:
Back to the Board.
≈𝟏𝟎 .𝟏𝟐𝟗𝒚𝒆𝒂𝒓𝒔
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The half life of a certain radioactive substance is 12
hours. There are 8 grams present initially.
a) Express the amount of substance remaining as a function of time.
b) When will there be 1 gram remaining?
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And the Answer Is:
Back to the Board.
a) Amount =
b) After 36 hours
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The population of Glenbrook is 375,999 and is increasing at the rate of 2.25% per year. Predict when the population will
be 1 million.
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Back to the Board.
And the Answer Is:
After about 44.081 years
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Write an equation for the lines parallel and
perpendicular to the line and contains the point .
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And the Answer Is:
Back to the Board.
![Page 25: Welcome to Jeopardy!](https://reader035.vdocuments.net/reader035/viewer/2022081603/5681365c550346895d9de937/html5/thumbnails/25.jpg)
Find the domain and range of the following
function:
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Back to the Board.
And the Answer Is:
![Page 27: Welcome to Jeopardy!](https://reader035.vdocuments.net/reader035/viewer/2022081603/5681365c550346895d9de937/html5/thumbnails/27.jpg)
Determine if the following function is
even or odd:
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And the Answer Is:
Back to the Board.
Odd function
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Find the formula of the piecewise function displayed on the following graph:
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And the Answer Is:
Back to the Board.
𝒇 (𝒙 )={𝟑− 𝒙 , 𝒙≤𝟏𝟐 𝒙 ,𝟏<𝒙
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Find the composition of functions , , , and when
and
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Back to the Board.
And the Answer Is:
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Is the function one-to-one?
Explain why or why not.
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And the Answer Is:
Back to the Board.
No because not every output has only one
input. (Does not pass the horizontal line
test.)
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Does the function have an inverse?
If yes, find If not, explain why.
Back to the Board.
1f
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And the Answer Is:
Back to the Board.
Yes, 1( )f x
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Find the inverse of the following function
and verify that :
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And the Answer Is:
Back to the Board.
𝒇 −𝟏 (𝒙 )=√𝒙−𝟏
![Page 39: Welcome to Jeopardy!](https://reader035.vdocuments.net/reader035/viewer/2022081603/5681365c550346895d9de937/html5/thumbnails/39.jpg)
Solve the following equation
algebraically and support your answer
graphically.
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And the Answer Is:
Back to the Board.
![Page 41: Welcome to Jeopardy!](https://reader035.vdocuments.net/reader035/viewer/2022081603/5681365c550346895d9de937/html5/thumbnails/41.jpg)
Graph and on the
same screen.
What do you notice?
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And the Answer Is:
Back to the Board.
8
6
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2
-2
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𝒇 −𝟏 (𝒙 ) 𝒊𝒔 𝒂𝒓𝒆𝒇𝒍𝒆𝒄𝒕𝒊𝒐𝒏𝒐𝒇 𝒇 (𝒙 )𝒐𝒗𝒆𝒓 𝒕𝒉𝒆 𝒍𝒊𝒏𝒆𝒚=𝒙
![Page 43: Welcome to Jeopardy!](https://reader035.vdocuments.net/reader035/viewer/2022081603/5681365c550346895d9de937/html5/thumbnails/43.jpg)
Determine the period and amplitude and
draw the graph of the following function:
𝒚=𝟑𝐜𝐬𝐜 (𝟑 𝒙+𝝅 )−𝟐
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And the Answer Is:
Back to the Board.
Period: Amplitude: 3 6
5
4
3
2
1
-1
-2
-3
-4
-5
-6
-7
-10 -8 -6 -4 -2 2 4 6 8 10
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Find the value of the six trigonometric
functions at given that
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And the Answer Is:
Back to the Board.
![Page 47: Welcome to Jeopardy!](https://reader035.vdocuments.net/reader035/viewer/2022081603/5681365c550346895d9de937/html5/thumbnails/47.jpg)
Evaluate the following expression:
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And the Answer Is:
Back to the Board.
𝐬𝐢𝐧(𝐜𝐨𝐭−𝟏(𝟏𝟐𝟓 ))= 𝟓𝟏𝟑
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Show that is an odd function of x.
Using this, show that the reciprocal of an odd function is also odd.
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And the Answer Is:
Back to the Board.
𝐜𝐬𝐜(−𝜽 ¿)= 𝒓−𝒚
=−( 𝒓𝒚 )=−𝐜𝐬𝐜𝜽 ¿
The reciprocal of cosecant is the sine function:
![Page 51: Welcome to Jeopardy!](https://reader035.vdocuments.net/reader035/viewer/2022081603/5681365c550346895d9de937/html5/thumbnails/51.jpg)
Solve the following equation in the
specified interval:
![Page 52: Welcome to Jeopardy!](https://reader035.vdocuments.net/reader035/viewer/2022081603/5681365c550346895d9de937/html5/thumbnails/52.jpg)
And the Answer Is:
Back to the Board.
𝒙=𝝅𝟔𝐚𝐧𝐝
𝟓𝝅𝟔