activities on rational function

1. Activity No. A
Tell whether it is a function or not.
1.{ (-4,1),(2,6),(4,7),(8,8),(9,3)}
2.y2 = x + 6
3.Student to LRN 5.
4. Parent to Children

2. Activity No. 1B
Evaluate the given function, when x =
2
1.f(x) = 3x – 5 2. f(x) = x2 – 5x + 2
2.f(x) = 2x – 5 4. f(x) = √x + 7
x – 1
5. f(x) = 3x3 – x2 + 1

3. Activity No. 2
Perform the indicated operation.
f(x) = 4x - 1 ; g(x) = x2 + 5
1.(f + g) (x) = 4. (g / g) (x) =
2.(f - g) (x) = 5. (g o f) (x) =
3.(f * g) (x) =

4. Activity No. 2
Answer Key
1. = 4x – 1 + x2 + 5
= x2 + 4x + 4
2. = 4x – 1 - x2 – 5
= -x2 + 4x – 6
3. = 4x3 + 20x – x2 – 5
= 4x3– x2+ 20x – 5
4. = x2 + 5 =
x2 + 5
= 1
5. = (4x – 1)2 + 5
= 16x2 – 8x + 1+5
= 16x2 – 8x + 6

5. Activity No. 3
Give the LCD of the following
1. 4.
2. 5.
3.
x 3x + 1 5
2 5x 3x
x - 2 2 4
x + 1 x - 1 x2 - 1
6 3x + 1 5
2x - 1 2x - 1 3
1 2 7
2 3 10x
x - 1 3 8
2 4 x + 1

6. Activity No.4
Solve for x
(x – 1) (x + 2) < 0
(x – 5)(x + 4)