Hannah Kiiskila
and
Mi tch Pronga
http://www.youtube.com/watch?v=M87p94A1dL8
https://www.youtube.com/watch?v=2tC36VPxCmw
Y=X is the equation for the first basic function
Y
This is the table for the first basic function
X
-100
-100
0
0
100
100
The domain would be (, )
This is because all the values of Y
Will give out a real X value
Y=[X] is the equation of this graph
This is table for the second basic function.
y
x
-100
-100
0
0
100
100
The domain would be (-
,
This is because all the values of Y
Will give out a real X value
)
https://www.youtube.com/watch?v=4kCHuVrtbc4
This is the graph of the function
Y=x^2
To find the range you need to look
at the graph to see what values of y
the graph reaches.
By looking at the graph, you should see that the graph
reaches all positive values of y and 0, but not the
negative values of y.
Because of this, the range for y=x^2 is [0,
), which
shows that the graph will start at 0, and reach all
positive values of y.
This is the graph of y=x^3
By looking at the graph, you
should see that the graph
reaches all values of y.
(negative, 0, and positive)
Because of this, the range of
of y=x^3 is (- , ), which shows that the graph
reaches all values of y.
Bounded above means that there is a FIXED value
which the function never rises above.
The Basic Logistic Function is bounded above at 1.
It does not have a single Y value that goes above 1.
Bounded below means there is a FIXED value which
the function never goes below.
The squaring function is bounded below at 0.
It never has a Y value that goes below 0.
A function is said to be bounded when it is bounded
above and below.
The sine graph never has a Y value that crosses 1 or -1
thus it is bounded above and below.
http://quizlet.com/415738/scatter/
Go to the website above and click start game.
Match the function with its correct name.
Try it as many times as you would like and try and get
the best score!
Good luck!
A. Squaring Function
B. Reciprocal Function
C. Square Root Function
D. Greatest Integer Function
A. Sine Function
B. Cubing Function
C. Exponential Growth Function
D. Basic Logistic Function
A. Reciprocal Function
B. Sine Function
C. Natural Logarithmic Function
D. Greatest Integer Function
A. Greatest Integer Function
B. Cosine Function
C. Identity Function
D. Basic Logistic Function
A. Cubing Function
B. Reciprocal Function
C. Exponential Growth Function
D. Cosine Function
A. Above
B. Below
C. Both
D. Neither
A. Above
B. Below
C. Both
D. Neither
A. (-1, 1)
B. (-
,
)
,
]
C. [-1,1]
D. [-
A. (-
,
B. (0,
C. [ D. [- 0,
)
)
,
]
)
A. Identity Function, ( B. Identity Function, ( C. Identity Function, [ D. Squaring Function, [-
,
), (,
, 0] [1,
), (,
], [,
,
], [,
)
,
]
]
)
1. C
2. D
3. B
4. A
5. B
6. B
7. C
8. C
9. A
10. A
Pictures
http://www.google.com/imgres?um=1&hl=en&tbo=d&biw=1366&bih=643&tbm=isch&tbnid=hyqviEhvtcrUBM:&imgrefurl=http://www.mathsisfun.com/sets/functionsquare.html&docid=4PMl1sKL0__VUM&imgurl=http://www.mathsisfun.com/sets/images/functionsquare.gif&w=220&h=192&ei=92n8UPpkj4jxBPvogMgF&zoom=1&iact=hc&vpx=467&vpy=178&dur=37&hovh=153&hovw=176&tx=95&ty=63&sig=108440193668009717289&page=1&
tbnh=150&tbnw=173&start=0&ndsp=23&ved=1t:429,r:3,s:0,i:144
http://www.google.com/imgres?um=1&hl=en&tbo=d&biw=1366&bih=643&tbm=isch&tbnid=FOwN5nVR9dqYgM:&imgrefurl=http://en.wikipedia.org/wiki/Logistic_function&d
ocid=RfC7PJvfh9XjxM&imgurl=http://upload.wikimedia.org/wikipedia/commons/thumb/8/88/Logistic-curve.svg/320px-Logisticcurve.svg.png&w=320&h=213&ei=c2r8UImKAYr29gTT7IHwDw&zoom=1&iact=hc&vpx=184&vpy=138&dur=506&hovh=170&hovw=256&tx=107&ty=84&sig=10844019366800971728
9&page=1&tbnh=142&tbnw=213&start=0&ndsp=18&ved=1t:429,r:1,s:0,i:85
http://www.google.com/imgres?um=1&hl=en&tbo=d&biw=1366&bih=643&tbm=isch&tbnid=hC4ZMS8wHSmuBM:&imgrefurl=http://onemathematicalcat.org/Math/Algebra_II
_obj/basic_models.htm&docid=vl1ukCpWngVlnM&imgurl=http://onemathematicalcat.org/Math/Algebra_II_obj/Graphics/fct_sqrt.gif&w=371&h=297&ei=vWj8UKHsEYWo8gT
hoYGwCQ&zoom=1&iact=hc&vpx=2&vpy=161&dur=602&hovh=201&hovw=251&tx=54&ty=89&sig=108440193668009717289&page=1&tbnh=147&tbnw=184&start=0&ndsp=23&ved=
1t:429,r:0,s:0,i:109
http://www.shmoop.com/points-vectors-functions/bounded-unbounded-functions-exercises.html
http://www.wikipedia.org/
Youtube.com
Yahoooanswers.com
http://www.google.com/imgres?um=1&hl=en&sa=N&tbo=d&biw=1366&bih=643&tbm=isch&tbnid=You4eUX6EmOMaM:&imgrefurl=http://fromamathclass.blogspot.com/2012/
07/idea-function-moves.html&docid=ZO9-8xOM0lLawM&imgurl=http://1.bp.blogspot.com/N1GYAqOe4Y8/T_MCxZLc3PI/AAAAAAAAAAM/IWT8bAPZBBk/s1600/mathematical-dancemoves.jpg&w=600&h=536&ei=Dmv8UK2AOInY8gSp84HACg&zoom=1&iact=hc&vpx=597&vpy=185&dur=168&hovh=212&hovw=238&tx=168&ty=84&sig=108440193668009717289
&page=3&tbnh=135&tbnw=142&start=48&ndsp=27&ved=1t:429,r:71,s:0,i:305
0
