12/5 Bell Ringer AB

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a linear function represent?

Back

The slope of a linear function represents the rate of change of the function. It indicates how much the output (y-value) changes for a unit change in the input (x-value).

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis. It is represented by the value of b in the function f(x) = mx + b.

Front

How do you find the value of a function at a specific point?

Back

To find the value of a function at a specific point, substitute the x-value into the function's equation and solve for f(x).

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 do you determine the domain and range of a constant function?

Back

For a constant function like f(x) = c, the domain is all real numbers, and the range is the single value {c}.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the x-values increase, the corresponding y-values also increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the x-values increase, the corresponding y-values decrease.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or equal to the other.