Answer the following questions

1) Find the domain of the function using interval notation. f(x)=\frac{\sqrt{x-6}}{\sqrt{x-4}

2) Sketch a graph of a piecewise function. Write the domain in interval notation. [Suggestion: for example, go to www.desmos.com/calculatorand write=2 y=x2 {-1 \leq x \leq 1} and y = 3x - 2 {1 \leq x \leq 3} Then choose your own functions and have fun.]

3) The cost in dollars of making x items is given by the functionC(x) = 10x + 500.

• The fixed cost is determined when zero items are produced. Find the fixed cost for this item.
• What is the cost of making 25 items?
• Suppose the maximum cost allowed is $1500. What are the domain and range of the cost function,C(x)?