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Using Tables on your calculator

Summary:

To set a variable on your calculator do the following:

1.Enter the number you want to set \(x\) to, in this case we will set \(x\) to 3:


2.Press "sto" (which is short for store):


3. Press \(x\), and hit enter.
If it worked, it will return the value you set it to. You can now evaluate expressions with \(x\) like this:

To create a table on your calculator do the following:

First, use the \(y=\) button to enter the screen where you can make a function:
Next, enter your function, in this case we will just do \(x^2+2x-3\)
After that, you can press "graph" to see a graph of your function.
Next, press "second", and then "graph"
To alter the settings of the table, you can press "second" then "table" to get "tableset" which gives the following menu:
"Tblstart" refers to the first value in the table, and "\(\Delta\)Tbl" refers to the gap between each value


Below are examples of using both tables and variables on your calculator

Example 1:

Evaluate the following using a variable in your calculator:

1. \(x^2-3x+6\) at x = 4
2. \(\sqrt{x-5}\) at x=21

Part One:
First we set \(x\) equal to 4 as shown in the summary

Next we can enter the expression that we want to evaluate, and then the calculator will give us the value
We can see that the answer here is 10

Part Two: First we set \(x\) equal to 21 as shown in the summary
Next we can enter the expression that we want to evaluate, and then the calculator will give us the value
We can see that the answer here is 4

Use this for a quick tip or to introduce the next page

Example 2:

Find the integer zero of \(x^3-x^2-17x-15\) on the interval \(0\lt x\lt10\)

First, press the "y=" button, and enter your equation

Next, press "2nd" and graph for a table
Using this table, we can see that the zero occurs at \(x=5\), since the \(y\) column is zero when the \(x\) column is 5

In the next example, you will see that "tblset" can be used to alter the properties of a table

Example 3:

Create a graph to show only even values of \(x^2+2x-30\) between 20 and 40

First, press "y=" and enter your function as before

Next, as before, create a table
Now, we need to make the graph start at 20, and we need to make it only show evens. To only show evens, we will use the \( \Delta\)Tbl setting to skip every second number
By going back to the table, using "2nd" "graph", we can see the solution

Conclusion:
Using tables and variables on your calculator is an important skill, as variables allow you to quickly evaluate any expression at any value you choose, while a table gives you a set of evaluated values, that you can select.

Next: Function Notation