Combo 2 Readiness Standards up to Compound Interest

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 does it mean for a mapping to represent y as a function of x?

Back

It means that each x value is associated with exactly one y value.

Front

What is the definition of slope in a graph?

Back

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

Front

How can you determine if a table represents y as a function of x?

Back

Check if each x value corresponds to exactly one y value; if any x value has multiple y values, it is not a function.

Front

What does a scatterplot indicate about the relationship between two variables?

Back

A scatterplot visually represents the relationship between two variables, showing how one may change in relation to the other.

Front

What is a linear relationship in a graph?

Back

A linear relationship is represented by a straight line, indicating a constant rate of change between the variables.

Front

What is a non-linear relationship in a graph?

Back

A non-linear relationship is represented by a curve, indicating that the rate of change between the variables is not constant.

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 crosses the graph more than once, it is not a function.

Front

What does it mean if a graph does not represent y as a function of x?

Back

It means that at least one x value is associated with more than one y value.

Front

What is the significance of the point (0, 0) in a function?

Back

The point (0, 0) is the origin; whether a function passes through this point can indicate specific properties of the function.