Function Notation

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

What does f(8) represent?

Back

f(8) represents the output of the function f when the input is 8.

Front

If f(x) = -2, what does this imply about the function?

Back

It implies that the output of the function f is -2 for some input value x.

Front

How do you find f(0) for a function?

Back

To find f(0), substitute 0 for x in the function's equation and simplify.

Front

What is the first step to evaluate f(1) for f(x) = 2x + 1?

Back

The first step is to plug a 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 of a function represent?

Back

The slope represents the rate of change of the function; it indicates how much the output changes for a unit change in the input.

Front

What is the y-intercept of a function?

Back

The y-intercept is the value of the function when the input x is 0.

Front

How do you solve for x in the equation f(x) = k?

Back

To solve for x, set the function equal to k and solve the resulting equation for x.

Front

What is the significance of the function f(x) = -4x - 10?

Back

This function is a linear function with a slope of -4 and a y-intercept of -10.