# 12 Basic Functions

```Hannah Kiiskila
and
Mi tch Pronga
 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
)
 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

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
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1t:429,r:0,s:0,i:109

http://www.shmoop.com/points-vectors-functions/bounded-unbounded-functions-exercises.html

http://www.wikipedia.org/
