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(x) represent in function notation?

Back

f(x) represents the output of the function f for a given input x.

Front

In the function f(x) = 2x + 5, what is the output when x = 3?

Back

f(3) = 2(3) + 5 = 6 + 5 = 11.

Front

What is the input in the function f(x) = 3x + 7?

Back

The input is x.

Front

How do you express the point (2, 4) in function notation?

Back

You express it as f(2) = 4.

Front

What is the output of the function f(x) = x^2 + 3x + 1 when x = -4?

Back

f(-4) = (-4)^2 + 3(-4) + 1 = 16 - 12 + 1 = 5.

Front

If C(m) = 10m, what does C represent?

Back

C represents the total cost of going to the movies, where m is the number of movies.

Front

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

Back

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

Front

How can you write the function f(x) = 3x + 7 in terms of another variable, say y?

Back

You can write it as y = 3x + 7.

Front

What does it mean if f(a) = b?

Back

It means that when the input is a, the output of the function f is b.