Piecewise Fun

Front

What is a Step Function?

Back

A Step Function is a piecewise function that is constant within each interval and jumps to a different value at the boundaries of those intervals.

Front

Evaluate f(5) if f(x) is a Step Function and f(5) = 4.

Back

f(5) = 4

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 domain of the graph if it is defined as 1 ≤ x ≤ 4?

Back

The domain is the set of x-values from 1 to 4, inclusive.

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

What is the range of the function if it is defined as (-∞, 4]?

Back

The range includes all values less than or equal to 4.

Front

What does m(-3) represent in a piecewise function?

Back

m(-3) represents the output value of the function when the input is -3.

Front

If m(-3) = 3, what does this indicate about the function at x = -3?

Back

It indicates that the output value of the function at x = -3 is 3.

Front

What is a discrete function?

Back

A discrete function is a function that is defined only for specific values, often represented by distinct points.

Front

What is a continuous function?

Back

A continuous function is a function that is defined for all values in an interval and has no breaks or jumps.