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#1 2024-04-19 09:47:47
- nycguitarguy
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- From: Brooklyn, NY
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Graph Involving Absolute Value
A graph has the following points joined by a straight line from A to D, in that order.
A = (-2, -1)
B = (-1, -1)
C = (1, 1)
D = (2, 0)
A. Draw the graph of y = | f(x) |.
B. Draw the graph of y = f(| x |).
C. What is the basic difference between the two graphs?
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#2 2024-04-19 23:59:04
- Bob
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- Registered: 2010-06-20
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Re: Graph Involving Absolute Value
A = (-2, -1)
B = (-1, -1)
C = (1, 1)
D = (2, 0).
A. Draw the graph of y = | f(x) |. You have to work out f(x) and then make any negative values into positives. Some are already positive and so those are unchanged.
B. Draw the graph of y = f(| x |) You have to change any negative x values into positives; then use the function to work out what y values you get. I found that the original 4 points become just 2 points repeated.
What is the basic difference? Neither new graph looks anything like the original; nor do they share any similarities. Hard to see what the questioner is searching for here.
What you can say is that y = | f(x) | has no negative y values and y = f(| x |) has no negative x values. Is that what is wanted?
Bob
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#3 2024-04-20 01:42:14
- nycguitarguy
- Member
- From: Brooklyn, NY
- Registered: 2024-02-24
- Posts: 571
Re: Graph Involving Absolute Value
A = (-2, -1)
B = (-1, -1)
C = (1, 1)
D = (2, 0).
A. Draw the graph of y = | f(x) |. You have to work out f(x) and then make any negative values into positives. Some are already positive and so those are unchanged.
B. Draw the graph of y = f(| x |) You have to change any negative x values into positives; then use the function to work out what y values you get. I found that the original 4 points become just 2 points repeated.
What is the basic difference? Neither new graph looks anything like the original; nor do they share any similarities. Hard to see what the questioner is searching for here.
What you can say is that y = | f(x) | has no negative y values and y = f(| x |) has no negative x values. Is that what is wanted?
Bob
Yes, you are right. This is what Sullivan is asking for in his book.
The Rapture is the central event in biblical prophecy. The greatest truth about the Rapture is not its timing but it's reality. The Rapture will be the great disappearance.
Dr. David Jeremiah
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