Multiple Representations of Functions

Front

What is a function?

Back

A function is a relationship between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does the variable 'x' typically represent in a function?

Back

The variable 'x' usually represents the input value in a function.

Front

What does the variable 'y' typically represent in a function?

Back

The variable 'y' usually represents the output value in a function.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope in a linear function?

Back

The slope is a number that describes the steepness and direction of a line, calculated as the change in y divided by the change in x.

Front

What is the y-intercept in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x is 0.

Front

How can you represent a function using a table?

Back

A function can be represented using a table by listing input values (x) in one column and their corresponding output values (y) in another column.

Front

How can you represent a function using a graph?

Back

A function can be represented using a graph by plotting points on a coordinate plane where each point corresponds to an input-output pair.

Front

What is an equation of a function?

Back

An equation of a function is a mathematical statement that describes the relationship between input and output, such as y = 2x + 3.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x) that the function can accept.