Graphing Functions and Interval Notation

The video tutorial covers graphing functions, focusing on shifting graphs and understanding domain and range. It explains how to graphically and algebraically determine the domain and range of a function, using zoom standard for accurate graphing. The tutorial concludes with a brief mention of moving to the next equation.

What is the first step in graphing a function?

• Check the range

• Use Zoom Standard

• Graph the function

• Subtract a number

What happens to a graph when you subtract a number inside the function?

• It shifts to the right.

• It shifts up.

• It shifts down.

• It shifts to the left.

What tool can you use to ensure your graph is displayed correctly?

• Zoom Standard

• Graph Corrector

• Function Viewer

• Graph Adjuster

What should you do if your graph doesn't look correct?

• Recalculate the function

• Use Zoom Standard

• Ignore it

• Change the function

How can you find the domain of a function algebraically?

• By identifying when the function is undefined.

• By using a calculator.

• By looking at the graph's height.

• By checking the graph's width.

What is the purpose of using interval notation?

• To describe the graph's size

• To describe the graph's shape

• To describe the domain and range

• To describe the range of colors

What does the domain of a graph represent?

• The vertical extent of the graph.

• The color of the graph.

• The shape of the graph.

• The horizontal extent of the graph.

What is the domain of a graph that extends infinitely in both directions?

• 0 to infinity

• 0 to 1

• Negative infinity to 0

• Negative infinity to infinity

What should you check for when finding the domain algebraically?

• Graph size

• Colors and shapes

• Fractions and square roots

• Graph position

What should you do if you are unsure about your algebraic domain?

• Change the function

• Ignore it

• Graph the function to verify

• Recalculate the range