Friday, February 1, 2013

Solve for Y in Function Table

Function tables playing an important role in mathematics. Function is defined as the set of order pairs (x, y).  For example {(1,2) (4,3) }. A common rule is followed in the function that is y = 3x +1 (or)    y = x2. In this article we shall discuss about how to solve the function table with suitable example problems.


Example Problem on Function Table:

Solve for y in the function tale y = 3x +5.

Solution:

From the given function plug the different value of x and get the y value. In general x is input value and y is the output value.

Function Table:

x y = 3x + 5
0y = 3 (0) + 5 = 5
1 y = 3(1) +5 = 8
2 y = 3(2) +5 = 11
-1 y = 3(-1) +5 = 2
-2 y = 3(-2) +5 = -1



Hence the order pair for the above function is (0, 5) (1, 8) (2, 11) (-1, 2)(-2, -1)

Example Problem on Function table:

Solve for y in the function tale y = x + 4.

Solution:

From the given function plug the different value of x and get the y value. In general x is input value and y is the output value.

Function Table:

x y = x + 4
0y = (0) + 4 = 4
1 y = (1) +4 = 5
2 y = (2) +4 = 6
-1 y = (-1) +4 = 3
-2 y = (-2) +4 = 2


Hence the order pair for the above function is (0, 4) (1, 5) (2, 6) (-1, 3)(-2, 2)

Example Problem on Function Table:

Solve for y in the function tale y = x2 + 2.

Solution:

From the given function plug the different value of x and get the y value. In general x is input value and y is the output value.

Function Table:

x y = x2 + 2
0y = (0)2 + 2 = 2
1 y = (1)2 +2 = 3
2 y = (2)2+2 = 6
-1 y = (-1)2 +2 = 3
-2 y = (-2)2 +2 = 6



Hence the order pair for the above function is (0, 2) (1, 3) (2, 6) (-1, 3)(-2, 6)

Example Problem on Function table:

Solve for y in the function tale y = 2x2 + 3.

Solution:


From the given function plug the different value of x and get the y value. In general x is input value and y is the output value.

Function Table:

x y = 2x2 + 3
0y = 2(0)2 + 3 = 3
1 y = 2(1)2 +3 = 5
2 y = 2(2)2+3 = 11
-1 y = 2(-1)2 +3 = 5
-2 y = 2(-2)2 +3 = 11

Hence the order pair for the above function is (0, 3) (1, 5) (2, 11) (-1, 5)(-2, 11)

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