1.3 notes part 1.notebook - perry...
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1.3 Notes part 1.notebook
1
September 05, 2018
Aug 318:41 AM
Aug 318:51 AM
1.3 Notes part 1.notebook
2
September 05, 2018
Aug 11:43 PM
1.) f(x) = x
Domain:
Range:
Continuity:
Increasing/decreasing behavior:
Symmetry:
Boundedness:
Extrema:
H.A.
V.A.
End behavior:
x f(x)
-21
01
2
Aug 11:43 PM
2.) f(x) = x2
Domain:
Range:
Continuity:
Increasing/decreasing behavior:
Symmetry:
Boundedness:
Extrema:
H.A.
V.A.
End behavior:
x f(x)
-21
01
2
1.3 Notes part 1.notebook
3
September 05, 2018
Aug 11:43 PM
3.) f(x) = x3
Domain:
Range:
Continuity:
Increasing/decreasing behavior:
Symmetry:
Boundedness:
Extrema:
H.A.
V.A.
End behavior:
x f(x)
-21
01
2
Aug 11:43 PM
4.) f(x) = 1/x
Domain:
Range:
Continuity:
Increasing/decreasing behavior:
Symmetry:
Boundedness:
Extrema:
H.A.
V.A.
End behavior:
x f(x)
-21
01
2
1.3 Notes part 1.notebook
4
September 05, 2018
Aug 11:43 PM
5.) f(x) = √x
Domain:
Range:
Continuity:
Increasing/decreasing behavior:
Symmetry:
Boundedness:
Extrema:
H.A.
V.A.
End behavior:
x f(x)
01
49
16
Aug 11:43 PM
6.) f(x) = ex
Domain:
Range:
Continuity:
Increasing/decreasing behavior:
Symmetry:
Boundedness:
Extrema:
H.A.
V.A.
End behavior:
x f(x)-21
01
2
1.3 Notes part 1.notebook
5
September 05, 2018
Aug 11:43 PM
7.) f(x) = lnx
Domain:
Range:
Continuity:
Increasing/decreasing behavior:
Symmetry:
Boundedness:
Extrema:
H.A.
V.A.
End behavior:
x f(x)
-2-1
0
12
Aug 11:43 PM
8.) f(x) = sinx
Domain:
Range:
Continuity:
Increasing/decreasing behavior:
Symmetry:
Boundedness:
Extrema:
H.A.
V.A.
End behavior:
x f(x)
0π/2
π
3π/22π
Grab a 1.3 Handout up front.
1.3 Notes part 1.notebook
6
September 05, 2018
Aug 11:43 PM
9.) f(x) = cosx
Domain:
Range:
Continuity:
Increasing/decreasing behavior:
Symmetry:
Boundedness:
Extrema:
H.A.
V.A.
End behavior:
x f(x)
0π/2
π
3π/22π
Aug 11:43 PM
10.) f(x) = x
Domain:
Range:
Continuity:
Increasing/decreasing behavior:
Symmetry:
Boundedness:
Extrema:
H.A.
V.A.
End behavior:
x f(x)
-21
01
2
1.3 Notes part 1.notebook
7
September 05, 2018
Aug 11:43 PM
11.) f(x) = int(x)
Domain:
Range:
Continuity:
Increasing/decreasing behavior:
Symmetry:
Boundedness:
Extrema:
H.A.
V.A.
End behavior:
x f(x)
-3
-5/2
-2-3/2
-1-1/2
01/2
1
3/22
5/23
Aug 11:43 PM
12.) f(x) = 1/(1 + e-x)
Domain:
Range:
Continuity:
Increasing/decreasing behavior:
Symmetry:
Boundedness:
Extrema:
H.A.
V.A.
End behavior:
x f(x)
-21
01
2
1.3 Notes part 1.notebook
8
September 05, 2018
Aug 12:02 PM
Examples:
1.) Graph f(x) = x2 + 3.
a.) Domain:
b.) Range:
c.) Increasing/Decreasing behavior:
d.) Odd, even, neither?
e.) Extrema:
f.) How does the graph relate to one of the twelve basic functions?
1.3 Twelve Basic Functions Name: _____________________
Aug 12:02 PM
2.) Graph f(x) = 5 - x .
a.) Domain:
b.) Range:
c.) Increasing/Decreasing behavior:
d.) Odd, even, neither?
e.) Extrema:
f.) How does the graph relate to one of the twelve basic functions?
1.3 Notes part 1.notebook
9
September 05, 2018
Aug 12:11 PM
Piecewise-Defined Functions
1.) Graph f(x) = x, x ≤ 0 x + 1, x > 0
2.) Graph g(x) = x2, x≤1 |x| , x > 1
3.)
Jul 27:48 AM
1.3 Notes part 1.notebook
10
September 05, 2018
May 1112:38 PM
1.3 Homework Name: _____________________
Each graph is a slight variation of one of the twelve basic functions. Without a calculator, match each graph to one of the functions in (a)‐(l).
Jul 27:11 AM
Identify which graph(s) in (1)‐(12) fit the descriptions given.
Identify which of the twelve basic functions fit the descriptions given.
1.3 Notes part 1.notebook
11
September 05, 2018
Jul 27:20 AM
For (29) & (30), graph and answer the questions.
29.)
Jul 27:41 AM
30.)
Graph the following piecewise functions.
31.)
1.3 Notes part 1.notebook
12
September 05, 2018
Jul 27:43 AM
32.) 33.)
34.)
Jul 27:48 AM
35.)
36.)