Drawing Graph Function

Is the graph shown a function?

• Yes, because the graph passes the Vertical Line Test.

• Yes, because the graph passes the Horizontal Line Test.

Is the inverse of this graph a function or not a function?

• Yes, it passes the vertical line test

• Yes, it passes the horizontal line test

• No, it does not pass the vertical line test

• No, it does not pass the horizontal line test

Answer explanation

It passes the "vertical line test", which means every input has exactly one output.

The relation in the graph is..

• a function but not a one-to-one function.

• a one-to-one function.

• not a function

The relation in the graph is..

• a function but not a one-to-one function.

• a one-to-one function.

• not a function

Tags

One-to-One Functions

The ____________________ is a test to determine if a function is one to one. To use the test, imagine drawing every possible horizontal line on the coordinate plane. If no horizontal line intersects the graph of a function at more than one point, then the function is one to one.

Use the horizontal line test to determine if the function has an inverse function.

• YES

• NO

Function or not a function?

• It is a Function

• Not a Function

The relation in the graph is..

• a function but not a one-to-one function.

• a one-to-one function.

• not a function.

Is the inverse of this a function?

• No

• Yes

Is the inverse of the graph a function?

• Yes

• No