COMPLETE A TABLE OF VALUES GIVEN A FUNCTION RULE

For the following input numbers, calculate output numbers under the given rules :

Question 1 :

Four times the input number.

Solution :

Let us consider "n" as input value and "m" as output value.

Rule ==> Four times the input number.

Formula :

m  =  4n

Completing the table :

Question 2 :

The input number plus three.

Solution :

Rule ==> The input number plus three.

Formula :

m = n + 3

Completing the table :

Question 3 :

Add two then multiply by 3

Solution :

Rule ==> Add two then multiply by 3

Formula :

m  =  3(n+2)

Completing the table :

Question 4 :

Multiply the input number by itself.

Solution :

Rule ==> Multiply the input number by itself.

Formula :

m  =  n ⋅ n

Completing the table :

Question 5 :

Double the input number then add one.

Solution :

Rule ==> Double the input number then add one.

Formula :

m  =  2n+1

Completing the table :

Question 6 :

Subtract 3 then multiply by 2.

Solution :

Rule ==> Subtract 3 then multiply by 2.

Formula :

m  =  2(n-3)

Completing the table :

Complete each Function Table by calculating the output ‘y’ (or f(x)) for each input value ‘x’.

Question 7 :

Solution :

Applying each input, we get

• When x = 0, y = 3x ==> y = 3(0) ==> 0
• When x = 1, y = 3x ==> y = 3(1) ==> 3
• When x = 2, y = 3x ==> y = 3(2) ==> 6
• When x = 3, y = 3x ==> y = 3(3) ==> 9
• When x = 4, y = 3x ==> y = 3(4) ==> 12

By applying all the values, we get

Question 8 :

Solution :

Applying each input, we get

• When x = -2, y = x + 2 ==> y = -2 + 2 ==> 0
• When x = -1, y = x + 2 ==> y = -1 + 2 ==> 1
• When x = 0, y = x + 2 ==> y = 0 + 2 ==> 2
• When x = 1, y = x + 2 ==> y = 1 + 2 ==> 3
• When x = 2, y = x + 2 ==> y = 2 + 2 ==> 4

By applying all the values, we get

Question 9 :

Consider the function rule:

Multiply the input by two and then subtract one to get the output.

(a) Fill in the table for the inputs and outputs. Inputs are often designated by and outputs by .

Inputs are 0, 1, 2, 3

(b) Write an equation that gives this rule in symbolic form.

Solution :

Let x be the inputs 

Multiply the input by 2, then 2x

Then, subtract 1, we get

y = 2 x - 1

When input (x) = 0, then y = 2(0) - 1 ==> -1

When input (x) = 1, then y = 2(1) - 1 ==> 1

When input (x) = 2, then y = 2(2) - 1 ==> 3

When input (x) = 3, then y = 2(3) - 1 ==> 5

Completing the table,

b) Rule in symbolic form is y = 2 x - 1.

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