Review Algebra 1 Unit 4 Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

What does f(2) = 5 mean?

Back

It means that when the input is 2, the output of the function f is 5.

Front

How do you determine if a relation is a function?

Back

A relation is a function if every input has exactly one output. This can be checked using the vertical line test on a graph.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

What does it mean for a function to be undefined?

Back

A function is undefined at a certain input if there is no corresponding output. For example, division by zero is undefined.

Front

What is the notation for a function?

Back

Functions are typically denoted by letters such as f, g, or h, followed by the input in parentheses, e.g., f(x).

Front

How do you find the value of a function at a specific point?

Back

To find the value of a function at a specific point, substitute the input value into the function's equation.

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).