Finding Intersections with Graphing Calculators

This video tutorial demonstrates how to find the intersection points of two functions using a TI-84 graphing calculator. The functions used are f(x) = -3x and f(x) = x^2 - 4. The tutorial guides users through inputting these functions into the calculator, graphing them, and using the calculator's intersect function to find the points of intersection. The first intersection point is at (1, -3) and the second is at (-4, 12).

What is the main objective of this lesson?

• To find the intersection of two functions using a graphing calculator.

• To understand the basics of calculus.

• To learn how to solve equations manually.

• To explore different types of graphing calculators.

Which button do you press first to start inputting functions on the TI-84?

• 2nd

• Calc

• Y=

• Graph

What is the first function you need to input into the calculator?

• f(x) = -3x

• f(x) = 2x^2

• f(x) = x^2 - 4

• f(x) = x + 2

After inputting the functions, which button should you press to view the graph?

• Enter

• Calc

• 2nd

• Graph

How many points of intersection are visible on the graph?

• Two

• One

• Three

• None

Which option should you select to find the intersection on the calculator?

• Option 1: Value

• Option 2: Zero

• Option 3: Minimum

• Option 5: Intersect

What is the first point of intersection found?

• (0, 0)

• (1, -3)

• (-4, 12)

• (2, 4)

What should you do to ensure you find the second point of intersection?

• Use a different calculator.

• Move the cursor close to the other intersection point.

• Press the reset button.

• Change the graph settings.

What is the second point of intersection?

• (-4, 12)

• (0, 0)

• (2, 4)

• (1, -3)