A 1.1 Intro to 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 dependent variable in a function?

Back

The dependent variable is the output of a function, often represented as 'y', which depends on the value of the independent variable.

Front

What is the independent variable in a function?

Back

The independent variable is the input of a function, often represented as 'x', which can be changed freely.

Front

What is an x-intercept?

Back

The x-intercept is the point where a graph crosses the x-axis, meaning the value of y is zero.

Front

What is a y-intercept?

Back

The y-intercept is the point where a graph crosses the y-axis, meaning the value of x is zero.

Front

How do you determine the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that will not cause any mathematical errors, such as division by zero.

Front

How do you determine the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that result from using the domain values in the 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 of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input values (x) increase, the output values (y) also increase.