Function Notation

Front

What does f(x) represent in function notation?

Back

f(x) represents the output of the function f for a given input x, and is equivalent to y.

Front

How do you read the notation f(x)?

Back

You read f(x) as 'f of x'.

Front

What does it mean to find f(2) in a function?

Back

Finding f(2) means substituting x with 2 in the function.

Front

For the function f(x) = -3x + 3, what is f(0)?

Back

f(0) = 3.

Front

What is the first step to find f(1) if f(x) = 2x + 1?

Back

The first step is to plug 1 in for all the x's in the function.

Front

What is the general form of a linear function?

Back

The general form of a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in a linear function?

Back

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

Front

What does the y-intercept (b) represent in a linear function?

Back

The y-intercept (b) represents the value of f(x) when x = 0.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the given value for x into the function and simplify.

Front

What is the significance of function notation in mathematics?

Back

Function notation provides a clear way to express the relationship between inputs and outputs, making it easier to work with functions.