ACC Continuous vs. Discrete and Function Practice (Frost)

Front

What is the difference between continuous and discrete data?

Back

Continuous data can take any value within a range (e.g., time, height), while discrete data consists of distinct, separate values (e.g., number of students).

Front

What does it mean for a relation to be a function?

Back

A relation is a function if each input (x-value) has exactly one output (y-value).

Front

What is an ordered pair in the context of functions?

Back

An ordered pair is a pair of numbers (x, y) that represents a point on a graph, where x is the input and y is the output.

Front

How can you determine if a set of points represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is a linear relationship?

Back

A linear relationship is one where the graph of the equation forms a straight line, indicating a constant rate of change.

Front

What is a nonlinear relationship?

Back

A nonlinear relationship is one where the graph does not form a straight line, indicating a variable rate of change.

Front

What is the slope-intercept form of a linear equation?

Back

Front

How do you find the range of a function?

Back

The range is the set of all possible output values (y-values) that result from substituting the domain values (x-values) into the function.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for which the function is defined.

Front

What does it mean for a table of values to be linear?

Back

A table is linear if the change in y is constant for equal changes in x.