Function Rules and Evaluations

Front

What is a function rule?

Back

A function rule is a mathematical expression that describes the relationship between input (x) and output (y). It defines how to calculate the output based on the input.

Front

Write a function rule for 'The output is four times the input'.

Back

Front

What does a graph with a straight line indicate?

Back

A straight line indicates a constant speed or a linear relationship between the variables.

Front

Do the ordered pairs (0,1), (1,4), (4,1), (5,1) make a function?

Back

Yes, they make a function because each input (x-value) is associated with exactly one output (y-value).

Front

What are the types of intervals demonstrated in a graph?

Back

Increasing, constant, and decreasing intervals.

Front

Is the graph of a vertical line a function?

Back

No, a vertical line is not a function because it does not pass the vertical line test (it has multiple outputs for a single input).

Front

What is the vertical line test?

Back

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

Front

What does it mean for a function to be increasing?

Back

A function is increasing when the output (y-value) rises as the input (x-value) increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing when the output (y-value) falls as the input (x-value) increases.

Front

What is a constant function?

Back

A constant function is a function that does not change; its output remains the same regardless of the input.