What did I learn this week?

This week I learned function notation.

For example: Mapping notation

f is the name, x is the input, and 2x + 3 is the output. If “f : 5 –> 13“, on a graph it would look like this: (5,13), 5 is the input and 13 is the output. That way, it is easy to graph. It would be the same if it looked like this: g : r –> πr². g would still be the name of the function. r would still be the input, and πr² would be the output.

When doing function notation, It will look like this f(x) = 2x + 3. When it says f(x) it does not mean “f multiplied by x” it means “f of x”.

I also learned how to solve Function Notation. For example, this is the equation:

Function g is defined by g(x) = 6 – x².

Evaluate a:  g(4)

To solve this equation we have to put 4 where x is. “g(x)” does not mean g multiplied by x, it means g of x. So, we replace all x’s with 4. It will look like this, “g(4) = 6 – 4²” . Then we multiply the exponent first. So, 4² = 16. Then we calculate the remaining steps. 6-16 = -10. The final answer is g(4) = -10