Graph Inverse Functions
1) a. Graph the function \(f(x)=3x+1\) by hand.
b. Make a table of at least \(5\) values of \(y=f(x)\).
c. Make a new table where you swap the numbers in the \(x\) column and put them in the \(y\) column then put the
numbers from the \(y\) column into the \(x\) column.
Example:
This table \(\downarrow\) becomes this table \(\downarrow\)
1) a. Graph the function \(f(x)=3x+1\) by hand.
b. Make a table of at least \(5\) values of \(y=f(x)\).
c. Make a new table where you swap the numbers in the \(x\) column and put them in the \(y\) column then put the
numbers from the \(y\) column into the \(x\) column.
Example:
This table \(\downarrow\) becomes this table \(\downarrow\)
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d. Graph the function in the new table on the same graph as 1a.
2) Complete steps a-d from problem #1 with the function \(f(x)=x^3\).
3) Problem #1 and Problem #2 have a similarity in that both graphs have a common transformation. Can you identify that transformation?
2) Complete steps a-d from problem #1 with the function \(f(x)=x^3\).
3) Problem #1 and Problem #2 have a similarity in that both graphs have a common transformation. Can you identify that transformation?