Graphing Functions and Intersection Points

This lesson demonstrates how to use a free online graphing calculator to graph functions and find their points of intersection. It covers entering linear and quadratic equations, adjusting the graph window, and using the calculator's tools to determine intersection points. The tutorial emphasizes the use of function notation and provides step-by-step instructions for visualizing and calculating solutions to systems of equations.

What is the purpose of graphing two functions on the same coordinate plane?

• To calculate the area under the curve

• To identify the y-intercept of each function

• To find the points of intersection

• To determine the slope of each function

Which notation does the graphing calculator use for functions?

• a(x) and b(x)

• y and z

• f(x) and g(x)

• m(x) and n(x)

What should you do if the graph is not visible clearly?

• Switch to a different calculator

• Adjust the brightness of the screen

• Change the color of the graph

• Increase the line thickness

How can you manually adjust the graph window?

• By adjusting the screen resolution

• By changing the graph type

• By changing the max and min values for x and y

• By rotating the graph

What is the ordered pair of the intersection point for the linear functions in the example?

• (5, 11)

• (0, 0)

• (3, 3)

• (7, 24)

What is the first step when graphing quadratic functions?

• Adjust the window settings

• Change the graph color

• Enter the equations into the calculator

• Calculate the intersection points

How can you reposition the graph for better visibility?

• Switch to a different calculator

• Adjust the screen brightness

• Change the graph type

• Use the arrow keys to move the graph

What should you do to calculate the intersection points of quadratic functions?

• Draw a box around the intersection points

• Change the graph color

• Increase the line thickness

• Switch to a different calculator

What is the approximate first intersection point of the quadratic functions?

• (3, 3)

• (0, 0)

• (-2.1190, 1.5510)

• (6.4047, -2.1020)

What is the approximate second intersection point of the quadratic functions?

• (3, 3)

• (0, 0)

• (6.4047, -2.1020)

• (-2.1190, 1.5510)