1. Which of the following relations is function?

2. Let f be a function defined by f ( x) = 5x – 3. Find f (-2)

3. Let r (x) = (4x+4)/(x+7) . Find r (-4)

4. Given that f ( x) = 2x^2 + x – 3 and g (x) = x -1. Find ( f + g) (x)

5. If f(x) = x^2 +3x and g(x) = x−2. Find and simplify the composite function (f o g).

6. Ten goats were set to loose in an island and their population growth can be approximated by the function : p(t) = 60(t+1)/(t+5) where p represent the great population in year t since they were set loose. How many goat will there be after 5 years? .

7. It is a function that can be written as ratio of two polynomials

8. Which among the following is a rational function?

9. Solve for (x) in the equation 5/2x= 5/2

10. Find the solution set of (x+2)/x <2

11. Complete the table of values to represent the rational function f(x)= (x^2-2x-3)/x below X 4 3 2 1 f(x) 5/4 0 -3/2 ?

12. For function f(x)=(x^2-x-6)/(x^(2 )+x-20) Identify values where the function will be undefined.

13. Consider f(x)= (x-3)/(x+4) . Find the x values not included in the domain

14. Find the x-intercept of f(x)= (2x+3)/(4x-7)

15. Find the y-intercept of f(x)= (3x+2)/(5x-3)

16. Which of the following is true about the graph h(x)= (x+3)/(x-2)

17. Find the vertical asymptote of f(x)= 3x/(x+ 3)

18. Which of the following is the test to determine if the graph is a one-to-one function?

19. What is the inverse of f(x) = 6x?

20. Which of the following functions is the inverse of f(x) = 4/(x-1) given that f is one to one?

21. The inverse of a function is denoted by_________.

22. What is the set of all x – values in a function?

23. Which of the following relations have inverse functions?

24. When y varies inversely as x; and y= 7 when x = 5, what is x if y =21?

25. It is a function that can be expressed mathematically as f(x) =b^x.

26. Which among the following is an exponential function?

27. Let t = time in days. At t = 0, there were initially 20 bacteria. Suppose that bacteria doubles every 100 hours. Give an exponential model for the bacteria as a function of t at t = 200.

28. Given the function f(x) = 4^x, what is f(3)?

29. Solve for the equation 4^(x-1) = 16.

30. Complete the table of values for x = 3, 2, 1, 0 to represent the exponential function f (x) = 10^x x 3 2 1 0 f(x)

31. Which of the following is the domain of an exponential function?

32. What is the range of y = 2^x+1 ?

33.Determine the y-intercept of f(x)= 2^x

34. What is the horizontal asymptote of y= 3(2^x)?

36.The population of Sitio 2 in 2003 was estimated to be 35,000 people with an annual rate of increase (growth) of about 2.4%. Write an equation to model future growth.

37. Due to John’s good grades, his mother rewarded him with an increased allowance. The increased allowance is indicated as follows: P2.00 on the first day, P4.00 on the second day, P8.00 and so on up to the fifth day. What is the exponential function to get the x days?

38. Rewrite the exponential equation 5^3 = 125 in logarithmic form.

39.Which among the following is a logarithmic function?

40. Find the value of log3 243.

41.Expand log(ab^2).

42. Find the value of x in the equation logx 16 = 2.

43. Solve for logarithmic inequality, log3 (2x − 1) >log3 (x + 2).

44. Complete the table of values with the of x = 1, 2, 4, 8 for log2 x. X 1 2 4 8 Y

45. 50 .Using the decibel (dB) formula D = 10 log I/10^-12 . Solve for the decibel level of sound in a quiet office which is 10^-2 w/m2.