Function notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses letters like f, g, or h followed by parentheses containing the input variable, such as f(x).

Front

What does g(x) = 6 - 2x represent?

Back

This is a linear function where g is defined in terms of x. The output g(x) changes based on the value of x.

Front

If g(x) = 12, how do you find x?

Back

Set the equation 6 - 2x = 12 and solve for x. This gives x = -3.

Front

What is the output of h(x) = 1 for any x?

Back

The output is always 1, regardless of the input x.

Front

How do you evaluate p(x) = 1/2x + 4 at x = 18?

Back

Substitute 18 into the function: p(18) = 1/2(18) + 4 = 13.

Front

What does f(x) = 14 mean?

Back

This means that for any input x, the output is always 14.

Front

How do you find g(8) if g(x) = -2x + 5?

Back

Substitute 8 into the function: g(8) = -2(8) + 5 = -11.

Front

What is the purpose of function notation?

Back

Function notation helps to clearly define relationships between variables and allows for easy evaluation of functions.

Front

What is the difference between input and output in function notation?

Back

Input is the value you provide to the function (x), and output is the result you get after applying the function (f(x)).

Front

What does it mean if a function is linear?

Back

A linear function creates a straight line when graphed and can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.