Understanding Quadratic Functions

This video tutorial reviews key concepts in quadratic functions, including domain, range, intercepts, end behavior, and intervals of increase and decrease. It provides examples and explanations to reinforce understanding of these topics, helping students to identify and describe the behavior of quadratic graphs.

What does the domain of a quadratic function describe?

• Possible x values

• The highest point on the graph

• The lowest point on the graph

• Possible y values

Which of the following terms is NOT synonymous with x-intercepts?

• Solutions

• Roots

• Zeros

• Vertices

What happens to the y-values as x approaches positive or negative infinity in a quadratic function?

• They approach zero

• They remain constant

• They oscillate

• They approach positive or negative infinity

How many maximum or minimum points can a quadratic function have?

• Only one

• One or both

• None

• Two

What determines the range of a quadratic function?

• The slope of the graph

• The concavity of the graph

• The x-intercepts

• The y-intercepts

In a quadratic function, what does the vertex represent?

• All of the above

• The lowest point on the graph

• The highest point on the graph

• The point where the graph changes direction

How many y-intercepts can a quadratic function have?

• One or none

• Two

• Three

• None

What is the end behavior of a quadratic function that opens upwards?

• It remains constant

• One end approaches positive infinity, the other negative

• Both ends approach positive infinity

• Both ends approach negative infinity

If a quadratic graph is opening downwards, what is its end behavior?

• Both ends approach positive infinity

• Both ends approach negative infinity

• It remains constant

• One end approaches positive infinity, the other negative

What must be true for a quadratic function to have x-intercepts?

• It must touch the y-axis

• It must touch the x-axis

• It must have a positive slope

• It must have a negative slope