ROOT FUNCTIONS Graphing And Analysis (Page 5 of 5)

To find the x-intercept (also called a zero), use the CALC zero command. You will need to answer three questions during this process. To set the Left Bound, enter any value of x near but a little to the left of the x-intercept. The Right Bound can be any value of x near but a little to the right of the x-intercept. For the Guess, use a value of x that is close to the intercept itself.

 2nd CALC key. 2: menu selection. Negation key. 5 ENTER key. Negation key. 1 ENTER key. Negation key. 3 ENTER key. Calculator screen image.

We used a left bound of -5, right bound of -1 and a guess of -3. When the calculator asks each question, the graph is put into trace mode. Just type in the value of x you want, and a prompt will appear as you do. Make sure the x-values you enter when answering these questions are valid for the current window (between Xmin and Xmax). The coordinates of the zero are then displayed. We observe the domain and range of this function is all real numbers, and the graph is increasing over its entire domain.

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