Functions/Scatterplots Review

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

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

What does it mean for a set of ordered pairs to represent a function?

Back

A set of ordered pairs represents a function if no two pairs have the same first element (x-value).

Front

Given the ordered pairs {(3, 2), (4, 4), (6, 3), (4, 5)}, does this represent a function?

Back

No, because the x-value 4 is associated with two different y-values (4 and 5).

Front

What is a scatterplot?

Back

A scatterplot is a graph that shows the relationship between two variables by displaying data points on a Cartesian plane.

Front

How can you determine the trend in a scatterplot?

Back

You can determine the trend by observing the direction of the data points: upward (positive correlation), downward (negative correlation), or no trend (no correlation).

Front

What is a trend line?

Back

A trend line is a straight line that best represents the data on a scatterplot, showing the general direction of the data points.

Front

If the temperature is 80°, and the trend line indicates 8,300 guests, what does this imply?

Back

It implies that, based on the trend observed, the expected number of guests at the theme park is 8,300 when the temperature is 80°.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, written in the form (x, y).

Front

What does it mean for a graph to not pass the vertical line test?

Back

It means that there are at least two points on the graph that share the same x-value, indicating that it does not represent a function.