Identifying Key Features of Linear Functions

This video consolidates knowledge about linear functions, focusing on domain, range, intercepts, and graph behavior. It explains how to identify these characteristics on a graph and provides a practice example to reinforce learning.

What is the primary goal of the video discussed?

• To review and apply previously learned concepts of linear functions

• To introduce new concepts of linear functions

• To prepare for advanced calculus topics

• To discuss non-linear functions

What does the domain of a linear function represent?

• The minimum value of the function

• The maximum value of the function

• The set of all x-values the function can take

• The set of all y-values the function can take

What is the range of a graph that extends vertically to both infinities?

• None of the above

• Negative infinity to positive infinity

• Negative infinity to 0

• 0 to positive infinity

Where does a graph intersect the x-axis?

• At the point (x, 0)

• At the point (x, x)

• At the point (y, y)

• At the point (0, y)

What indicates a graph is decreasing?

• It is not continuous

• It moves down from left to right

• It moves up from left to right

• It remains constant

What does it mean if a graph is continuous?

• It can be drawn without lifting the pencil

• It cannot be drawn without lifting the pencil

• It only contains discrete points

• It has breaks or gaps

As x approaches negative infinity, the left side of the graph points to which infinity?

• Positive infinity

• Negative infinity

• It does not extend to infinity

• Zero

What is the x-intercept of the graph described in the second example?

• (0, -4)

• (-4, 0)

• (0, 4)

• (4, 0)

In the second example, what is the y-intercept of the graph?

• (0, 2)

• (0, -2)

• (2, 0)

• (-2, 0)

What is the end behavior of the graph as x approaches positive infinity in the second example?

• It remains constant

• It goes to zero

• It goes to positive infinity

• It goes to negative infinity