GENERAL MATHEMATICS

1.) Represent f(x) = x + 2/x - 1 in table of values and graph.

2.) Find the domain and range of,

f(x) = x + 4/x - 5

f(x) = x - 3/x + 8

3.) Find the different properties of the given rational functions below:

a.) X intercept

b.) Zeroes

c.) Y intercept

d.) Vertical Asymptote

e.) Horizontal Asymptote

d.) Oblique Asymptote

f(x) = x + 4/x - 2

f(x) = x + 1/3x

For nos. 9-10. What if the 200 bacteria in a certain culture doubles every 3 hours? 9. What is the exponential model for the given situation? a. y= 2(200)u'3 c. y= 2(200)3/ b. y= 200(2):/3 d. y= 200(2)3/ 10. How many bacteria are there after 9 hours? a. 1600 c. 2000 b. 1800 d. 2100 For nos. 11-12. The half-life of a radioactive substance is 10 days and there are 10 grams initially. 11. What is the exponential model for the given situation? a. y- (1/2)(1010/ c. y= 10(1/2)10/4 b. y= 10[1/2):/10 d. y= (1/2)(107/10 12. What is the amount of substance left after 20 days? a. 5g c. 0.025 g b. 2.5 g d. 1.25 g For nos. 13-14. Alex deposited P1,000.00 in a bank at Lucena City that pays 5% compound interest annually. 13. What equation best describes this investment after t years? a. A- 1,000 (1.5) C. A- 1,000 (15) b. A= 1,000 (1.05) d. A= 1,000 (1.005) 14. How much money will he have after 2 years? a. P1,100.50 C. P1,201.50 b. P1,102.50 d. P1,220.50 15. The predicted population of a certain city is given by P-5,000ek.15, where y is the number of years after 2020. What is the population in the year 2028? a. 6,600 c. 17,600 b. 16,600 d. 18,0008. Which of the following is an exponential inequality? a. (0.04) $ 0.2x 5. In which of the following is 169 2 132% classified? b. 3 > 27* a. Exponential Inequality c. 30- 2 900x b. Exponential Equation d. 64x 1625 b. 4x - 1 (0.8)144 a. x = 144 b. 15x+2 = 225 c. 2x + 3 = 29 d. f(x) = 8* 12. In which of the following is y = 23x+1 classified? a. Exponential Expression b. Exponential Equation c. Exponential Function d. Exponential Inequality1. Given f(x] = 3", fill up the table below and sketch the graph X 1 2 f(x) 2. Given f(x] = 3-*, fill up the table below and sketch the graph X 1 12 f(x)For item numbers 8-9, refer to the given function f(x) = 3*+1 8. What is the domain of the exponential function? a. (xx e R } c. (x x E R,x S 0 ] b. (xx E R, x 2 0] d. {xx e R, x > 0} 9. What is the range of the exponential function? a. {ylye R } c. (yly s 0} b. {yly e R, y 2 0} d. (yly E R,y > 0} For item numbers 12-13, refer to the given function f(x) = 5* + 2 12. What is the domain of the exponential function? a. (xx ER ] c. {x x E R,x > 0] b. (x x E R,x > 2} d. (x x e R,x 0} b. (yly e R,y > 2} d. (yly e R,y -4} d. {xx e R,x 3} b. {yly e R,y > -4} d. (yly e R,y