Graph Function Tests and Inverses

The video tutorial explains the horizontal and vertical line tests used to determine if a graph or its inverse is a function. The horizontal line test checks if the inverse of a graph is a function by scanning a horizontal line across the graph. If the line crosses the graph more than once, the inverse is not a function. The vertical line test checks if the graph itself is a function by ensuring a vertical line crosses the graph only once. Examples are provided to illustrate these concepts.

What is the primary purpose of the horizontal line test?

• To calculate the area under a curve

• To find the slope of a graph

• To determine if a graph is a function

• To check if the inverse of a graph is a function

How do you perform the horizontal line test?

• By scanning a horizontal line from low to high

• By scanning a horizontal line from left to right

• By drawing a diagonal line across the graph

• By drawing a vertical line across the graph

What does it mean if a horizontal line crosses a graph at more than one point?

• The graph is not continuous

• The inverse of the graph is not a function

• The inverse of the graph is a function

• The graph is a function

What is the result of a graph passing the horizontal line test?

• The graph is not a function

• The inverse of the graph is a function

• The graph is continuous

• The graph has a maximum value

What is the vertical line test used for?

• To check if the inverse of a graph is a function

• To determine if a graph is a function

• To calculate the derivative of a function

• To find the maximum value of a graph

What does the vertical line test determine about a graph?

• If the inverse of the graph is a function

• If the graph has a maximum value

• If the graph is a function

• If the graph is continuous

What is indicated if a graph fails the vertical line test?

• The inverse of the graph is a function

• The graph is a function

• The graph is not a function

• The graph is continuous

How does the vertical line test differ from the horizontal line test?

• It checks if a graph is a function, not its inverse

• It is used to calculate the area under a curve

• It checks if the inverse of a graph is a function

• It is used to find the slope of a graph

What is the significance of a graph passing both the horizontal and vertical line tests?

• The graph and its inverse are both functions

• The graph is not a function

• The graph is continuous

• The inverse of the graph is not a function

What happens if a graph passes the vertical line test?

• The graph is a function

• The graph is not a function

• The inverse of the graph is a function

• The graph is continuous