Functions, Domain, Range and Slope 12132024

Front

What is the domain of a set of ordered pairs?

Back

The domain is the set of all possible input values (x-values) from the ordered pairs.

Front

What is the range of a set of ordered pairs?

Back

The range is the set of all possible output values (y-values) from the ordered pairs.

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if every x-value has exactly one corresponding y-value (the vertical line test).

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise/run).

Front

If the function rule is 2x + 1, what is the output when the input is 2?

Back

The output is 5.

Front

What does it mean for a graph to be 'not a function'?

Back

A graph is 'not a function' if there are x-values that correspond to more than one y-value.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on a graph, written in the form (x, y).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph is a function by checking if any vertical line intersects the graph at more than one point.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope = (y2 - y1) / (x2 - x1).

Front

What is a function rule?

Back

A function rule is an equation that describes the relationship between input and output values.