GENERAL MATHEMATICS

FUNCTION

please help me reduce my workload

++ i would be much thankful if you were able to explain every each of it

I.

A. Read and analyze the following statements. If you think the statement suggests an incorrect idea, rewrite it on the given space, otherwise leave it blank.

1. A relation is a set of ordered pairs where the first element is called the range while the second element is the domain.

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2. A function can be classified as one-to-one correspondence, one-to-many

correspondence and many-to-one correspondence.

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3. In a function machine, the input represents the independent variable while the

output is the dependent variable.

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B. In three to five sentences, write the significance of function in showing real-life

situations.

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C. In yo ur ow n wo rds, discuss when a piecewise function is being used.

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II. Read and analyze each situation carefully and apply your learnings on representing real-life situations involving functions including piecewise.

1. Contaminated water is subjected to a cleaning process. The concentration of the pollutants is initially 5 mg per liter of water. If the cleaning process can reduce the pollutant by 10% each hour, define a function that can represent the concentration of pollutants in the water in terms of the number of hours that the cleaning process has taken place.

2. During typhoon Ambo, PAGASA tracks the amount of accumulating rainfall. For

the first three hours of typhoon, the rain fell at a constant rate of 25mm per hour.

The typhoon slows down for an hour and started again at a constant rate of 20 mm per hour for the next two hours. Wri-te a piecewise function that models the amount of rainfall as function of time.

III.

1. What do you call a relation where each element in the domain is related to only

one value in the range by some rules?

a. Function c. Domain

b. Range d. Independent

2. Which of the following relations is/are function/s?

a. x = {(1,2), (3,4), (1,7), (5,1)}

b. g = {(3,2), (2,1), (8,2), (5,7)}

c. h = {(4,1), (2,3), (2, 6), (7, 2)}

d. y = {(2,9), (3,4), (9,2), (6,7)}

3. In a relation, what do you call the set of x values or the input?

a. Piecewise c. Domain

b. Range d. Dependent

6. Which of the following real-life relationships represent a function?

a. The rule which assigns to each person the name of his aunt.

b. The rule which assigns to each person the name of his father.

c. The rule which assigns to each cellular phone unit to its phone number.

d. The rule which assigns to each person a name of his pet.

4. What is the range of the function shown by the diagram? W a. R: (3, 2, 1) b. R: (a, b) c. R: (3, 2, 1, a, b) d. R:(all real numbers; 2 5. Which of the following tables represent a function? a. X 0 0 y 4 5 6 7 b. X - 1 - 1 3 O y 0 -3 0 3 X 2 -2 C. y - 1 -2 -2 -1 X 0 -1 N d. y 3 4 5 6