Writing an Equation to Describe a Table - Concept

Concept Concept (1)

In Algebra, sometimes we are given points and asked to write an equation to describe them. There are many methods we can use for writing an equation to describe a table. For example, if the table describes a line, we use the y-intercept and calculate the slope to write the equation. To fully understand this concept, students should know how to plot points and how to interpret graphs.

Sample Sample Problems (4)

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Writing an Equation to Describe a Table - Problem 1

Write a function to describe:

Problem 1
How to write a function to describe a table of values with y intercept of zero.
x f(x)
0 0
1 2
2 4
3 6
Problem 2
How to write a function to describe a table of values with y intercept that is not zero.
x f(x)
0 -2
1 1
2 4
3 7
Problem 3
How to write a function to describe a table when the x values are not consecutive.
x f(x)
-3 -7
1 1
0 -1
2 3
Problem 4
How to write a function to describe a table that is not linear.
x f(x)
0 0
1 1
2 4
3 9