Function Notation (3.3)

Front

What is function notation?

Back

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

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the input variable into the function's equation and simplify.

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 does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph, meaning it can be drawn without lifting the pencil.

Front

How do you find 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 based on its domain.

Front

What is a transformation in function notation?

Back

A transformation refers to changes made to the graph of a function, such as shifting, reflecting, stretching, or compressing.

Front

What does shifting a function to the right mean?

Back

Shifting a function to the right means adding a positive value to the input variable, which moves the graph horizontally to the right.

Front

What is the effect of a negative sign in front of a function?

Back

A negative sign in front of a function reflects the graph across the x-axis.

Front

How do you represent a vertical shift in function notation?

Back

A vertical shift is represented by adding or subtracting a constant from the function, such as f(x) + k, where k is the shift amount.

Front

What is the difference between f(x) and g(x)?

Back

f(x) and g(x) can represent different functions, even if they use the same input variable. They may have different equations or transformations.