1. Find the distance between the points. Give an exact answer and an approximation to three decimal places. (2, -5) (-8, -2).
2. Determine whether the relation is a function. Identify the domain and the range. ((-3, 2), (6, 2), (3, 2), (4, 2), (-2, 2))
3. Find the domain of the following function. Do not use a graphing calculator.
f(x)equals= 1 over x2 - 5x - 6
4. Explain why y = b represents a function
5. Find the slope, if it exists, of the line containing the pair of points.
(-8, -1) (-10, -14)
6. Kara's Custom Tees experienced fixed costs of $400 and variable costs of $2 a shirt. Write an equation that can be used to determine the total expenses encountered by Kara's Custom Tees. Let x be the number of shirts, and let C(x) be the total cost of producing x shirts. Then, calculate the cost of producing 9 shirts.
7. Find the slope-intercept form of the line passing through (3, 6) (0, 3).
8. The data in the chart shows the maximum and corresponding resting heart rate of a healthy 20-year old man. Fit a regression line to the data. Then find the coefficient of correlation. Finally, use the regression line to predict the maximum heart rate for a resting heart rate of 40, 55, and 76
Resting 50 60 70 80 90
Maximum 160 162 165 167 168
9. Solve using the principles together. Don't forget to check.
7(5x + 8) = 12- (x + 4)
10. A boat moves at a rate of 11mph in still water. If the river's current flows at a rate of 4 mph, how long does it take the boat to travel 31 miles upstream?
11. Solve and write interval notation for the solution set. Then graph the solution set.
6x < -48 or x - 2 > 0.