Graded CW for 12/6 - Comparing Functions

Front

What is a function?

Back

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

Front

What is the initial value of a function?

Back

The initial value of a function is the value of the function when the input is zero, often represented as f(0).

Front

What does the rate of change represent in a function?

Back

The rate of change represents how much the output of a function changes for a given change in the input, often calculated as the slope of the line.

Front

How can you identify if a table represents a function?

Back

A table represents a function if each input value corresponds to exactly one output value.

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.

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 a non-linear function?

Back

A non-linear function is a function that does not graph to a straight line and can include quadratic, exponential, and other types of functions.

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.