Flashcard Unit 4#2 Review

Front

What is a Step Function?

Back

A step function is a piecewise constant function that jumps from one value to another without taking on any values in between. It is often represented graphically as a series of horizontal line segments.

Front

What is the value of m(-3) if m(x) = 3?

Back

m(-3) = 3.

Front

What is the equation of a vertical line at x=5?

Back

The equation is x=5.

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions for different intervals of the input variable.

Front

What does f(x) = { -x+1 if x < 4; x if x ≥ 4 mean?

Back

This means that for values of x less than 4, f(x) is calculated using -x+1, and for values of x greater than or equal to 4, f(x) is simply x.

Front

How do you find f(-3) from a graph?

Back

To find f(-3), locate -3 on the x-axis and determine the corresponding y-value on the graph.

Front

What is the output of a function?

Back

The output of a function is the value that results from applying the function to an input.

Front

What is a discrete function?

Back

A discrete function is a function that only takes on specific values, often represented as distinct points on a graph.

Front

What is a continuous function?

Back

A continuous function is a function that does not have any breaks, jumps, or holes in its graph.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output.