Graphing Functions and Their Properties

The video tutorial introduces the concept of ordinance, explaining its relation to coordinates. It covers the addition and subtraction of y-values in functions, providing techniques for graphing functions and identifying asymptotes. The tutorial concludes with graphing component parts and combining y-values to form complete graphs.

What is the term used to describe a pair of numbers like (1, 3) in the context of graphing?

• Intercepts

• Axes

• Ordinates

• Coordinates

In the context of graphing, what does the term 'ordinate' specifically refer to?

• Y-values

• X-values

• Both X and Y values

• Intercepts

What is the function y = x + 1/x an example of?

• A linear function

• A quadratic function

• An exponential function

• A rational function

What type of asymptote does the function y = x + 1/x have at x = 0?

• Horizontal

• Vertical

• Oblique

• None

Why does the function y = x + 1/x not have any y-intercepts?

• Because it is a linear function

• Because x cannot be zero

• Because it is a quadratic function

• Because it is a constant function

What does it mean for a quadratic to be 'positive definite'?

• It has a negative slope

• It never touches the x-axis

• It has a positive slope

• It always touches the x-axis

What is the purpose of using different colors when graphing?

• To emphasize the y-axis

• To make the graph look more appealing

• To differentiate between different parts of the graph

• To highlight the x-axis

What is the first step in graphing a function using its component parts?

• Determine the asymptotes

• Graph the entire function at once

• Find the intercepts

• Graph each component part separately

How can you differentiate parts of a graph if you don't have different colors?

• Use lighter shading or feathering

• Use different line styles

• Use thicker lines

• Use dotted lines

What is the final step in the graphing approach discussed?

• Subtract the y-values

• Add the y-values

• Multiply the y-values

• Divide the y-values