Is it a Function? & Describe Graphs

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

Which graph does NOT pass the vertical line test?

Back

Graph 1 does not pass the vertical line test.

Front

What does it mean if a graph is a function?

Back

It means that for every x-value, there is one and only one corresponding y-value.

Front

What is the relationship between attendance and time if it is constant?

Back

If attendance is constant, it means that the number of attendees does not change over time.

Front

What does it mean for a graph to slowly decrease at a constant rate?

Back

It means that the graph descends steadily without any sudden changes in direction or steepness.

Front

Is this graph a function or not a function?

Back

If a graph fails the vertical line test, it is not a function.

Front

What is an example of a function?

Back

An example of a function is y = 2x + 3, where each x-value has a unique y-value.

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is y^2 = x, where one x-value can correspond to two y-values.

Front

What does it mean for a graph to be increasing?

Back

A graph is increasing if as the x-values increase, the y-values also increase.