Question
1. An art student makes stained-glass decorations. The cost in dollars is given by ?(?) =?2+ 11? ? 40, where x is the number of
1. An art student makes stained-glass decorations. The cost in dollars is given by ?(?) =?2+ 11? ? 40, where x is the number of decorations made and sold. They earn $17 per decoration sold.
a) Write a profit function,?(?), for this scenario. Simplify the function.
?(?) = ______________________________
b) How many decorations to be made and sold for the students to break even? (They break even when their profit is zero.)
Answer:______________________________
2. Consider the function?(?) =?2?? + 4. Evaluate?(? + h). Expand the answer to write it without parentheses.
Answer:______________________________
3. Find the equation of a line that passes through (10, 8) and has a slope of 5.
Answer:______________________________
4. Solve the equation for?:2,000?12?= 10,000
Answer:______________________________
5. Simplify the expressions?3?/(???2)4
Answer:______________________________
6. Sketch the general shape of the graph of the function. If the function has an asymptote, include it. An example is shown for you.
Example:
? = |?|
a)? =log2(?)
b)? =??2
c)? = ??
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