Functions

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Front

What does it mean for a graph to be linear?

Back

A linear graph is a straight line, indicating a constant rate of change.

Front

How do you find the slope of a line?

Back

Front

What is the difference between x-coordinate and y-coordinate?

Back

The x-coordinate represents the horizontal position, while the y-coordinate represents the vertical position on a graph.

Front

What is the slope of the line represented by the points (1, 2) and (5, 6)?

Back

Front

What does it mean if a graph is nonlinear?

Back

A nonlinear graph does not form a straight line and can represent varying rates of change.

Front

What is the vertical line test?

Back

The vertical line test determines if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

What is a domain in a function?

Back

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

Front

What is a range in a function?

Back

The range is the set of all possible output values (y-values) for a function.

Front

How can you identify a linear function from a table of values?

Back

A linear function will have a constant difference in the y-values for equal intervals in the x-values.