announcement then we will return to resume classkennethjones.weebly.com › uploads › 5 › 5 ›...
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fer_afm_graphing_all.notebook
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May 08, 2012
Who am I?
Leave your things here
We all need to report tothe main gym
There will be a brief announcement
Then WE WILL RETURN TO RESUME CLASS
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May 08, 2012
SurveysOpinions that are well thought out and sensible will be listened to intently
In short ... Don't BS the survey
When you get done put survey inside of manilla envelope. Last student done is to take
them to the office.
Answers to Inequality Review
1) p:(3, 4] 2) x:[3, 10) 3) m:(8, 5)4) n:[4, 6] 5) r:(10, 4] 6) x:[2, 1)7) n:[10, 5] 8) b:[3, 10)9) v:(∞, 2] U [2, ∞) 10) x:(4, 4)11) n:(∞, 10) U (12, ∞)12) a:(∞, 8) U (2, ∞) 13) x:(0, 8)14) k:(∞, 5) U (1, ∞) 15) x:[3, 3]16) n:[3, 3] 17) p:(∞, 7] U [8, ∞)18) k:(∞, 2) U (1, ∞) 19) x:(∞, 0] U [6, ∞)20) n: [1/3, 5] 21) m:(3.5, 6) 22) r:[5/8, 3]
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May 08, 2012
Quiz TimeOpen notes
You have until
___:___
Inequality answers must be in interval notation
GraphingLinear, Quadratic, Exponential and Logarithmic Functions
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May 08, 2012
Graphing LinearFunctions
Must have two pointsThey must be the X and Y intercepts
These points must be labeled
Ex 1Graph the linear function below.
Clearly label the X and Y intercepts.
y = 2x 4
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May 08, 2012
Ex 2Graph the linear function below.
Clearly label the X and Y intercepts.
y = ½x + 3
Ex 3Graph the linear function below.
Clearly label the X and Y intercepts.
3x 4y = 12
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May 08, 2012
Ex 4Graph the linear function below.
Clearly label the X and Y intercepts.
y = 2
Ex 5Graph the linear function below.
Clearly label the X and Y intercepts.
x = 6
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May 08, 2012
You TryGraph the linear function below.
Clearly label the X and Y intercepts.
5x + 2y = 10
You TryGraph the linear function below.
Clearly label the X and Y intercepts.
y = 4x + 12
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May 08, 2012
Graphing QuadraticFunctionsMust label the vertex
Must label the YInterceptMust label the XIntercept(s) (if it has any)
"Shortcuts"
Given:f(x) = ax2 + bx + c
a = a
h =
k =
b2a
c ah2
f(x) = a(x h)2 + k
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May 08, 2012
Ex 1Sketch the graph of f(x)
f(x) = (x 1)2 4
Ex 2Sketch the graph of f(x)
f(x) = 2(x + 4)2 + 10
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May 08, 2012
Ex 3Sketch the graph of f(x)
f(x) = x2 4x + 9
f(x) = (x - 2)2 + 5
f(x) = x2 4x + 9 "Shortcuts"
Given:f(x) = ax2 + bx + c
a = a
h =
k =
b2a
c ah2
f(x) = a(x h)2 + k
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May 08, 2012
Ex 4Sketch the graph of f(x)
f(x) = 9 x2
f(x) = -x2 + 9
Ex 5Sketch the graph of f(x)
f(x) = 3x2 + 9
f(x) = 3x2 + 9
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May 08, 2012
You TrySketch the graph of f(x)
f(x) = x2 + 4x 6
f(x) = (x + 2)2 - 10
V @(-2, -10)Y-Int @ (0, -6)X-Int @ (1.16, 0)
(-5.16, 0)
Who am I?
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May 08, 2012
Quiz Results# * 5 = Grade
Answers
1) x:(∞, 5/3) U(3, ∞) 2) x:(9, 11]
3) x:[2/3, 2] 4) x = 1/7
Warm Up/Review
1) Solve for X, record answersin interval notation:
4 2|3 x| > 0
2) Solve for X, round to the hundredths:
√x 1 = 3 √x 4x = 5
x:(1, 5)
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May 08, 2012
Warm Up/Review
1) Solve for X, record answersin interval notation:
4 2|3 x| > 0
x:(1, 5)
Warm Up/Review
2) Solve for X, round to the hundredths:
√x 1 = 3 √x 4
x = 5
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May 08, 2012
Warm Up/Review
1) Graph the function below. Label the X and Y intercepts.
3x 9y = 18
2) Graph the function below. Label the vertex, YIntercept and any XIntercepts that many exist.
f(x) = x2 6x 13
Warm Up/Review
1) Graph the function below. Label the X and Y intercepts.
3x 9y = 18
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May 08, 2012
Warm Up/Review
2) Graph the function below. Label the vertex, YIntercept and any XIntercepts that many exist.
f(x) = x2 6x 13
Graphing ExponentialFunctions
Must label the bound (horizontal line)Must label the YInterceptMust "swoop" correctly
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May 08, 2012
Ex 1Graph f(x). Label the bound and YIntercept.
Ex 2Graph f(x). Label the bound and YIntercept.
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May 08, 2012
Ex 3Graph f(x). Label the bound and YIntercept.
Ex 4Graph f(x). Label the bound and YIntercept.
f(x) = 3x+2 + 4
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May 08, 2012
Ex 5Graph f(x). Label the bound and
YIntercept.f(x) = ( )x5
3
You TryGraph the exponential function. Label
the bound and YIntercept.
f(x) = 2 ( )2x + 212
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May 08, 2012
Graphing LogarithmicFunctions
Must label the bound (vertical line)Must label the XIntercept
Ex 1Graph the logarithmic function. Label the
bound and XIntercept.
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May 08, 2012
Ex 2Graph the logarithmic function. Label the
bound and XIntercept.
f(x) = 5log½(4x)
Ex 3Graph the logarithmic function. Label
the bound and XIntercept.
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May 08, 2012
Ex 4Graph the logarithmic function. Label
the bound and XIntercept.
f(x) = 2ln(6 x)
Ex 5Graph the logarithmic function. Label the
bound and XIntercept.f(x) = log½(3x)
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May 08, 2012
You TryGraph the logarithmic function. Label the
bound and XIntercept.
f(x) = 2ln(4 x)
AssignmentFinish Worksheet: "Graphing Review"