2. GraphsGraphs 100 50 25 10 5 Power Functions PolynomialsPolynomials Rational Functions MiscMisc Math 104 – Test 1 Review 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 Final 50 25 10 5

3. Graphs

4. CheckWork Y=-3x 3 Go Home Go Home 5 Point Question In the long run, what power function will the graph of y=-3x 3 - 2x 2 + 5 look like?

5. CheckWork Go Home Go Home What will the graph of y = (x+2)(x-3) 3 look like right near x = 3? 10 Point Question It will be chair shaped.

6. Which class of power functions all have vertical asymptotes at x = 0? CheckWork Y=kx p, where p is negative. Go Home Go Home 25 Point Question

7. CheckWork At x = 50. Go Home Go Home 50 Point Question When does the graph of y = x 4 catch up with y = 50x 3 ?

8. CheckWork As x-> +/- , y -> -3 Go Home Go Home Describe the long-run behavior of the rational function 100 Point Question

9. Power Functions

10. CheckWork x 3, x 2, x 0.5, x -2, x -3 Go Home Go Home When x>1, rank the following from largest to smallest: x 2, x 3, x -2, x -3,x 0.5 5 Point Question

11. CheckWork x -3 Go Home Go Home 10 Point Question Which of these is biggest when 0<x<1? x -2, x -3, x 2, x 1/2, x 1/3

12. CheckWork Y=3x 1/2 Go Home Go Home 25 Point Question Find the equation for the power function passing through (1,3) and (4,6).

13. CheckWork Go Home Go Home Find the equation for an exponential function with the properties f(1) = 16 and f(4) = 128 50 Point Question F(x) = 8(2 x )

14. CheckWork Readership is reduced by 42.2% Go Home Go Home The number of people who read a government report varies inversely with the square root of the thickness of the report. What effect does tripling the length of the report have on the number of readers? 100 Point Question

15. Polynomials

16. CheckWork 4 Go Home Go Home What degree is the polynomial y=-2(x+3)(x-5)(x-6) 2 5 Point Question

17. CheckWork Go Home Go Home What is the maximum number of turning points y = -5x 4 +3x 3 -2x 2 +5x+1 can have? 10 Point Question 3

18. CheckWork Go Home Go Home Sketch the graph of y = -2(x+3)(x-4)(x-5), labeling all intercepts. 25 Point Question (0,-120) (4,0)(5,0)(-3,0)

19. CheckWork Y=2(x+1)(x-2) 2 (x-4) Go Home Go Home Find a possible equation for the polynomial graphed below. 50 Point Question (0,-32)

20. CheckWork a n is negative and n is odd Go Home Go Home The graph of the polynomial f(x) = a n x n +a n-1 x n-1 +…+a 1 x+a 0 falls to the right and rises to the left. What do we know about the function? 100 Point Question

21. Rational Functions

22. CheckWork Go Home Go Home 5 Point Question What is the horizontal asymptote of Y=1/3

23. CheckWork Go Home Go Home 10 Point Question Find all vertical asymptotes of the function x=2 and x=3

24. CheckWork Go Home Go Home 25 Point Question Sketch the graph of the function

25. CheckWork Go Home Go Home 50 Point Question A chemist is studying how the concentration of tin in an alloy affects the conductivity of the alloy. The chemist starts with 5 g of copper and adds tin to the alloy. Express the concentration of tin as a function of how much tin is added. C(x)=x/(x+5)

26. CheckWork Go Home Go Home 100 Point Question Find a possible formula for the function graphed below. F(x)=(x+3)(x-1)/(x-4) 2

27. Miscellaneous

28. CheckWork The Gators Go Home Go Home What is the GRCC mascot? 5 Point Question

29. What is the name of the tall white pointy building in Seattle with a round rotating disk at the top? The Space Needle CheckWork Go Home Go Home 10 Point Question

30. CheckWork Go Home Go Home 25 Point Question What is the name of the school newspaper? The Current

31. SMT 340 What room are you in? CheckWork Go Home Go Home 50 Point Question

32. CheckWork Go Home Go Home FINAL JEAPORDY It is symmetrical about the y-axis. If f(-x) = f(x), what do we know about the graph of f(x)?