Alg 1A Test 3B (Function notation & graphs)

Front

What is function notation?

Back

Function notation is a way to represent functions in mathematics, typically written as f(x), where 'f' is the name of the function and 'x' is the input variable.

Front

What does the graph of a function represent?

Back

The graph of a function represents the relationship between the input values (x-axis) and the output values (y-axis) of the function.

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.

Front

How do you find f(0) for the function f(x) = 8 - 3x?

Back

To find f(0), substitute 0 for x: f(0) = 8 - 3(0) = 8.

Front

What does a horizontal line on a graph indicate?

Back

A horizontal line indicates that the output value (y) is constant, meaning the function has a constant value regardless of the input.

Front

What does a vertical line on a graph indicate?

Back

A vertical line indicates that the input value (x) is constant, which means it does not represent a function.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the input (x), while the dependent variable is the output (y) that depends on the input.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the function, indicating how much y changes for a unit change in x.