- Tables, Graphs, Functions and Sequences
- Making a table and plotting points given a unit rate
- Graphing whole number functions
- Function tables with two-step rules
- Writing a function rule given a table of ordered pairs: One-step rules
- Graphing a line in quadrant 1
- Interpreting a line graph
- Finding outputs of a one-step function that models a real-world situation
- Finding outputs of a two-step function with decimals that models a real-world situation
- Writing and evaluating a function that models a real-world situation: Basic
- Graphing ordered pairs and writing an equation from a table of values in context
- Writing an equation and drawing its graph to model a real-world situation: Basic
- Identifying independent and dependent quantities from tables and graphs
- Finding the next terms of an arithmetic sequence with whole numbers
- Finding the next terms of a geometric sequence with whole numbers
- Finding patterns in shapes
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
Graphing whole number functions
46 Lectures 2.5 hours
A function is a rule that takes in and works on an input and gives an output. It is usually represented as f(x) = y, where x is the input variable and y is the output variable.
By giving different whole number values to x, values of y can be found from the function rule. The x and y values are put in a table and then plotted as a graph.
Plotting a graph
So, from a function rule, x and y values can found and put in a table and also plotted as a graph.
Conversely, from a graph we can find x and y values and make a table of those values and find the function rule for the given graph also.
The table below describes a function. Graph this function.
From the table, we get the coordinates of the points as (0, 0), (2, 4), (4, 8), (6, 12), and (8, 16)
Making a plot of these points, we get
The graph of a function is given below. Fill in the table for this function.
From the graph plot, we get the coordinates of the points as (0, 0), (1, 4), (2, 9), (3, 5), and (4, 10)
Making a table of the x and y values, we get