Understanding Graphs: Maxima, Minima, and More

What is the significance of a turning point on a graph?

• It marks the end of the graph.

• It indicates a change from increasing to decreasing.

• It is where the graph intersects the x-axis.

• It is the highest point on the graph.

How do you determine if a graph is increasing?

• The y-values are increasing.

• The graph is moving left to right.

• The x-values are constant.

• The y-values are decreasing.

What is the first step in graphing a function using a calculator?

• Enter the function into y equals.

• Find the zeros of the function.

• Sketch the graph on paper.

• Adjust the x-axis scale.

What is the purpose of adjusting the window settings on a calculator?

• To solve the function algebraically.

• To better view the graph and identify key points.

• To change the color of the graph.

• To find the derivative of the function.

When using a calculator, how do you find the minimum point of a graph?

• By sketching the graph manually.

• By adjusting the x-axis.

• By using the second trace function.

• By guessing the point.

What does the zero of a function represent on a graph?

• The highest point on the graph.

• The point where the graph intersects the y-axis.

• The point where the graph intersects the x-axis.

• The lowest point on the graph.

What should you label on your graph after sketching it?

• Only the x-axis.

• Only the y-axis.

• The maximum, minimum, and zeros.

• The title of the graph.

In interval notation, how do you express an interval of increasing?

• By listing both x and y values.

• By listing the x-values.

• By listing the y-values.

• By listing the points.

What does the end behavior of a function describe?

• The point where the function crosses the y-axis.

• The highest point of the function.

• The behavior of the function as x approaches infinity or negative infinity.

• The lowest point of the function.

Why is it important to understand intervals of increasing and decreasing?

• They help in determining the graph's color.

• They are crucial for understanding the graph's behavior.

• They indicate the graph's symmetry.

• They show the graph's title.