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6A day3.notebook
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Something new...Consider f (x) = x3 and h(x) = (2x)3. Create a horizontal table for f.
WHERE, in terms of x, are the colored cells moving to for f(2x).
Consider f(8). For what value of x will h(x) = f(8)?
Consider f(10). For what value of x will h(x) = f(10)?
Consider f(100). For what value of x will h(x) = f(100)?
x 3 2 1 0 1 2 3 4 5 6
f(x) 27 8 1 0 1 8 27 64 125 216
f(2x) 8 0 8 64 216
Something old... Consider f (x) = x3 and g(x) = 8x3. Compare and contrast the tables in order to make a prediction about the graphs of f and g.
x x3 8x3
3210123
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Your turn...p523
Think of this first as a horizontal compression/stretch and then separately as a vertical one.
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p518
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I think that I
would buy this
problem an
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p521
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p527
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What did you notice about the resulting graphs?
Why would this happen?
What do all three graphs have in common?
p527
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WARM UP... p503 (2425)
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More on p527.
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A Great Test Question...
p528 (#10)
HINT: Start with the appropriate chameleon graph each time.
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Does this work for linear as well?WARM UP p519
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A Great test question...
Consider the mystery function and provide each of the following:
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A look at the Desmos project...
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WARM DOWN...1.) Which of the nifty nine...
a.) ...are odd?b.) ...are even?c.) ...are neither?d.) ...are inverses of each other?e.) ...have asymptotes?f.) ...do you still have difficulty understanding?
2.) Why isn't x2 + y2 = 1 part of the nifty nine? What does the graph of x2 + y2 = 1 look like?
3.) Provide the rule for a linear function that passes through (4,5) with a slope of 6.
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Homework
p531 (1-8)
Prepare for Pop Quiz
Begin Desmos Work...
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