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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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