Learning activity sheet in General Mathematics PDF

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Learning activity sheet in General Mathematics. This would be a great help for students to have practice on what they have learned during discussion....

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LEARNER’S ACTIVITY SHEET General Mathematics Week 1 Name: ______________________________________________ Date Started: _______________ Grade Level: _________________________________________ Track/ Strand: _______________ Activity 1. Represent the following real life situations using function. 1. A person is earning P600 per day to do a certain job. Express the total salary S as a function of the number n of days that the person works. 2. A computer shop charges 20 pesos per hour (or a fraction of an hour) for the first two hours and an additional 10 pesos per hour for each succeeding hour. Represent your computer rental fee using the function R(t) where t is the number of hours you spent on the computer. 3. A taxi ride costs P40.00 for the first 500 meters, and each additional 300 meters (or a fraction thereof) adds P3.50 to the fare. Use a piecewise function to represent the taxi fare in terms of the distance d in meters. Activity 2. I. Given f ( x )=x−2, find the following values: a. f(0) b. f(3) c. f(-1)

4 x

II.

Given f ( x )= ,

find the following values:

a. f(1)

d. f(

√2

b. f(2)

e. f(

1 ) x

)

c. f(-1) f. f(2x) Given f ( x )= √ x−3 , find the following values: a. f(3) d. f(x-3)

III.

b. f(4)

e. f(

1 ) 1−x

c. f(12) Activity 3. I. Let f ang g be defined as f(x)=x-5 and g(x)= x 2−1 . Find a. f+g b. f-g c. f·g d. e. II. Let a. b. c.

f g g f f ( x )=x 2−1 and g ( x) =

1 . Find x

f ○g)(x) ¿ g ○f)(-1) ¿ f ○f)(x) ¿

1|Pa ge

G e n e r a l M a t h e m a ti c s

g ○g)(x) ¿ III. If f ( x )=x 2 +3 x a. f ○g b. g ○f c. f ○f d. g ○g d.

2|Pa ge

and

g ( x) =x−2 , find and simplify the following composite fucntions:

G e n e r a l M a t h e m a ti c s...