1. Module 4 Test Review

2. Identify the Rate of Change in each equation

3. State the definitions of the following words  Linear:  Answer: The same value is added to the previous term.  Exponential:  Answer: The same value is multiplied to the previous term.  Continuous:  Answer: The function is continuously growing. Points on a graph are connected.  Discrete:  Answer: The function grows in point to point intervals. Points on a graph are not connected.

4. Find the rate of change for the following function xy 414 -30 210 516  Answer: Rate of Change = 2  Put the inputs in order, then find the change in y over the change in x.

5. If I started with $15 and I get a 5% raise (of the previous value) each week.

6. Given the two points (-2, 5) and (4, 29)

7. Write an explicit equation and an equation in slope intercept form for the values in the table. xy 711 816 921 1026  Explicit Equation: f(x) = 5(x-7)+11, simplified would be f(x) = 5x -24  Slope Intercept: y = 5x -24

8. Find the greater rate of change.

9. In each of the graphs, determine which Function has the greater rate of change?  Answer: m(x)  Answer: f(x)

10. I have been collecting cans for extra money. I currently have a bag full of 300 cans. Each Sunday, I go walking and I add 30 cans to my collection. Complete the table. Weeks (or weeks prior) Cans -2 0300 1 2 3 Weeks (or weeks prior) Cans -2240 270 0300 1330 2360 3390

11. I have been collecting cans for extra money. I currently have a bag full of 300 cans. Each Sunday, I go walking and I add 30 cans to my collection.  Write an explicit equation.  Answer: f(n) = 30n + 300  Is the function discrete or continuous?  Answer: Discrete. I only add the cans on Sunday.  If I keep collecting, how many cans will I have after 35 weeks?  Answer: f(35) = 30(35) + 300….1350 cans  If I have been doing this same thing for a long time and originally started with 0 cans, how long have I been collecting to get to 300 cans.  Answer: 0 = 30n + 300….. So n = 10 weeks.

12. The size of a crack in a glacier is.002 feet. Each day the size of the crack doubles. The total length of the glacier is 7500 feet. Complete the table DaysLength in Inches 0.002 1 2 3 DaysLength in Inches 0.002 1.004 2.008 3.016

13. The size of a crack in a glacier is.002 feet. Each day the size of the crack doubles. The total length of the glacier is 7500 feet.