Graphing Functions: A Comprehensive Overview

This video tutorial covers lesson 7.06 on graphing functions using tables. It begins with an introduction to the objectives, which include learning to graph functions by plotting points on a coordinate plane. The tutorial provides three examples: a linear function, a quadratic function, and a cubic function. Each example involves substituting x-values into the function to find corresponding y-values, plotting these as ordered pairs, and connecting the points to form a graph. The video emphasizes understanding different types of graphs, including straight and curved lines, and concludes with a brief mention of a related assignment.

What is the first step in graphing functions using a table?

• Plugging in each x value to find the corresponding y values

• Plotting the points on a coordinate plane

• Connecting the dots with a line

• Drawing the coordinate plane

In the function F(x) = -2x + 5, what is the y value when x is -2?

• 9

• 5

• 3

• 7

What type of line is formed when graphing the function F(x) = -2x + 5?

• Zigzag line

• Dotted line

• Straight line

• Curved line

In the quadratic function example, what is the y value when x is 0?

• -2

• -4

• 4

• 0

When graphing the quadratic function, what shape does the graph take?

• Straight line

• Ellipse

• Parabola

• Circle

In the cubic function example, what is the y value when x is 1?

• 0

• 1

• -1

• 8

What happens to the value when you cube a negative number?

• It doubles

• It becomes zero

• It remains negative

• It becomes positive

In the cubic function example, what is the y value when x is 3?

• 1

• -1

• 8

• -8

What should you add to the graph to indicate that the function continues indefinitely?

• Labels

• Lines

• Arrows

• Dots

What tool will you use for the assignment related to graphing functions?

• Jamboard

• Whiteboard

• Graph paper

• Spreadsheet