TI84 Graphing Calculator: Intersection Method for Finding Zeros

This video tutorial demonstrates how to use the intersection feature of the TI84 graphing calculator to find real rational zeros of a polynomial function. It explains the process of graphing the polynomial and Y=0, using the intersection method to identify X intercepts, and connecting these zeros to the factors of the polynomial. The tutorial highlights the ease of the intersection method over the traditional zero feature.

What is the primary goal of using the intersection feature on the TI84 calculator?

• To find the maximum value of a function

• To calculate the derivative of a function

• To determine the slope of a line

• To locate the real rational zeros of a polynomial

Why is the intersection method considered easier than the zero feature?

• It is faster to execute

• It requires fewer steps

• It avoids the left bound/right bound issue

• It provides more accurate results

What is the first step in setting up the TI84 calculator for the intersection method?

• Clearing the memory

• Entering the polynomial function in Y1

• Pressing the graph button

• Adjusting the window settings

Which key sequence is used to access the intersection feature on the TI84?

• ALPHA, Option 2

• 2nd GRAPH, Option 3

• 2nd TRACE, Option 5

• MATH, Option 4

What is the significance of the X value when Y equals zero on the graph?

• It shows a minimum point

• It represents a maximum point

• It is a zero or root of the function

• It indicates a point of inflection

What is the zero of the function when the cursor is close to the left-most X intercept?

• X = 0

• X = -3

• X = 5

• X = 1

How many times do you press ENTER to confirm the intersection point?

• Once

• Three times

• Twice

• Four times

What factor corresponds to a zero of X = 1?

• X - 1

• X - 5

• X + 3

• X + 1

If X = -3 is a zero, what is the corresponding factor?

• X - 1

• X - 3

• X + 3

• X + 5

What is the relationship between zeros and factors of a polynomial?

• Zeros are the sum of factors

• Factors are the derivatives of zeros

• Each zero corresponds to a factor

• Zeros are unrelated to factors