Semester Test Last Review

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as a graph, equation, or table.

Front

What does the graph of a function represent?

Back

The graph of a function visually represents the relationship between the input (x-axis) and output (y-axis) values.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How can you determine if a graph represents a function?

Back

You can 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 function?

Back

A linear function is a function that can be represented by a straight line on a graph, typically in the form y = mx + b.

Front

What is a quadratic function?

Back

A quadratic function is a function that can be represented by a parabola, typically in the form y = ax^2 + bx + c.

Front

What is the slope of a line?

Back

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

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input values increase, the output values also increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the input values increase, the output values decrease.