Slope, Domain and Range

Front

What is a function?

Back

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

Front

How can you determine if a graph 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 the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

In the equation y=mx+b, what does 'm' represent?

Back

The 'm' represents the slope of the line.

Front

What does the slope of a line indicate?

Back

The slope indicates the steepness and direction of the line; it is the ratio of the rise (change in y) to the run (change in x).

Front

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

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a function has a domain of {-6, 0, 2, 4}, what does this mean?

Back

It means the function can take the values -6, 0, 2, and 4 as inputs.