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 is the value of f(0) for the function f(x) = -3x + 3?

Back

The value of f(0) is 3.

Front

If f(x) = 3x - 12 and f(x) = -6, what is the value of x?

Back

The value of x is 2.

Front

What is the value of f(8) for the function f(x) = x - 5?

Back

The value of f(8) is 3.

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 find the output of a function for a specific input?

Back

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

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.