Question

Write three facts about function notation.

Answer 1

We have that the function notation is a very important way of working with functions. We have the following facts about function notation:

1. The notation f (x) is another way of representing the y-value, that is y = f(x). We have that the value for y is the same that f(x), that is the value that the function takes for a value of x.

2. In the notation function, if we have:

f(x) = 2x + 1

The value of x is the input value, and the output value is the result of substitute the value of x in that expression. For example, if x = 2, we have:

f(2) = 2*(2) + 1 ---> f(2) = 4 + 1 ---> f(2) = 5

Therefore, the input value (x) is 2, and the output value is 5.

3. This notation permits us to easily identify which is the independent variable, and which one is the dependent variable. For example:

y= g(x) = x + 4

We have that the independent variable is x. The dependent variable, that is, the variable that depends on the values of x is y.

Bonus:

You can also (with this notation) name different functions and avoid confusion when you want to examine them:

`f(t)=t^2+4,g(x)=x^3+45x,h(t)=77x^5\cdot\sqrt[]{x}`

We have three different functions, and we can identify them easily ( we can also identify the independent variables and the dependent variables.)