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Maths Exercices
Write a rule for a function table

Write the rule for the following function table.

y=______
1
0
2
1
3
2
4
3

Linear functions are of the form y=mx+b.

  1. First find m.
    Look at the table and notice that every time the terms x go up by 1, the y terms go up by 1. This means that m is equal to 1.

  2. Next find b.
    Take the equation y=mx+b and plug in the m value (m=1) and a pair of (x,y) coordinates from the table, such as (1,0). Then solve for b.

    y = mx+b    
    0 = 1(1)+b   Plug in m=1, x=1 and y=0
    0 = 1+b   Simplify
    -1 = b   Simplify

  3. Finally, use the m and b values you found (m=1 and b=-1) to write the equation.

    y = mx+b    
    y = 1x-1   Plug in m=1 and b=-1
    y = x-1   Simplify


    So, the equation is y=x-1

Which equation gives the rule for this table?

f(x)
x
f(x)
0
1
2
3

 

f(x) = 5x
f(x) = 5x+7
f(x) = -5x
f(x) = 5x-7