The document discusses two equations graphed from tables of values. The first equation has a domain of (-2,0) and (2,10) and range of (0,1.755) and (0,30.983). The second equation has a domain of (0,.525716) and (9.472,20) and range of (0,0.8) and (0,64.031). Both equations do not cross the x or y axes.

1. Algebra 2 Benchmark Michael Miller, Sam Beccaria, Jacob Listerud, Robert Yemola

2. Our Equations

3. Part A Scientists discovered a new strain of bacteria. They found that the bacteria multiplies by an exponent of 3. They are testing an antibiotic on the bacteria that kills it by 10 times the original number of bacteria squared. But every time they add the antibiotic, five times the original number of bacteria will become resistant and thrive.

4. Graph for Problem

5. Part B

6. Domain and Range Domain- (-2, 0) and (2, 10) Range- (0, 1.755) and (0, 30.983)

7. Y and X Intercept The line never crosses the X or Y Axis.

8. Dependent / Independent Variable In this Equation the Y is the Dependent Variable and the X is the Independent Variable

9. Table of Values 17.7482 7 13.8564 6 10.247 5 6.9282 4 3.873 3 0 2 Undefined 1 0 0 1.721 -1 1.6202 -1.5 0 -2 Y X

11. Equation Graphed

12. Next Equation

13. Domain and Range Domain - (0, .525716) and (9.472, 20) Range - (0, .8) and (0, 64.031)

14. Y and X intercepts The Line will never cross the X or Y Axis

15. Dependent and Independent Variables In this Equation the Y is the Dependent Variable and the X is the Independent Variable

16. Table of Values 7.0711 10 1.5411 9.5 1.2326 9.49 .8169 9.48 Undefined 1 - 9.47 .3536 .5 .6812 .4 .7918 .3 .7797 .2 .6332 .1 Y X

17. Equation Factored X(x^2-10x+5) X 9.472 X x^2 9.472x .528 .528x 5(approx.) (x-9.472)(x+.528)

18. Equation Graphed