Nina has a job repairing sailboats. To repair a sailboat, she charges a flat fee of $100 plus $40 per hour. The total in dollars
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When you add 8 to the end of a function formula, the graph moves UP 8 units. This is often called either a translation or vertical shift.
We have a piecewise function.
Therefore, to find the function, we must evaluate each domain separately.
We have then:
For
:
The function for this domain is:
For
:
The function for this domain is:
Where,
Substituting:
For
:
The function for this domain is:
Therefore, to find the function, we must evaluate each domain separately.
We have then:
For
The function for this domain is:
For
The function for this domain is:
Where,
Substituting:
For
The function for this domain is: