# How to Find X Intercepts on a TI-83

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By using the many graphing features of the TI-83, determine the x- and y-intercepts of a given function. The x-intercept is a location on the graph where the function crosses the x axis. At any x-intercept, the value of y is always equal to 0. Due to this fact, x-intercepts are often referred to as the zeros of a function. To find the x-intercepts of a function on a TI-83 calculator, use the "Zero" option within the Calc menu.

• Press the "Y=" button. This button is found on the left side of the keypad directly below the screen.

• Enter your function into the Y1 field and press the "Graph" button. This button is found on the right side of the keypad directly below the screen.

• Press the yellow "2nd" button. This button is found directly underneath the "Y=" button on the left side of the keypad.

• Press the "Calc" button. This button is found between the "Zoom" and "Graph" buttons directly below the screen. This is actually the "Trace" button, but the "2nd" button from the previous step changes the function of all keys on the keypad as denoted by the yellow text above each button.

• Choose the "2: zero" option from within the Calculate menu. Do this by highlighting the option with the arrow keys and pressing the "Enter" button in the bottom right corner of the keypad.

• Move the cursor to the left-bound starting position of the graph and press the "Enter" button. The left-bound starting position is a point on the graph to the left of where you suspect the function crosses the x-axis.

• Move the cursor to the right-bound starting position of the graph and press the "Enter" button. The right-bound starting position is a point on the graph to the right of where you suspect the function crosses the x-axis.

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• Press the "Enter" button once again to verify your boundary selections. The calculator now finds a point on the graph between the two boundaries that you selected that crosses the x axis to provide you with an exact x-intercept value. The result is displayed in the bottom left corner of the screen.

## Tips & Warnings

• Enter exact values as boundaries rather than selecting them with the arrow keys. When prompted to provide the left-bound or right-bound value, enter a numerical value and press the "Enter" button.

## References

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