Math 10 Week 10 – Function Notation

This week, we learned about function notation. In this blog post, I am going to demonstrate how to understand and solve function notation.

Let’s say we had an equation that looked like this:

F(x) = 3x+4    F(3)

The F(x) notation is another way of showing the y value of a function. Because F(x) = y.

This is showing that we need to find the answer for the equation if X is equal to three.

The equation would end up looking like this:

(3)(3)+4

Which is equal to 13

Now 13 is representing our Y value. Because writing F(x) = 13 is the same thing as writing y = 13

Once you understand the steps of function notation, it is easy to solve these questions.

 

 

 

 

 

Math 10 Week 11 – Functions

This week, we were introduced to functions. In this blog post I am going to explain and give examples this lesson.

A function relates to an input, a relationship and an output. The input is the number we begin with, the relationship is the number or equation that we use to change the input and the output is the number we end with after we have implemented the relationship.

This table given demonstrates functions:

The input is related to X and the output is related to Y.

The relationship is multiply by two each time. You can see that you start off with the input number and you multiply it by two to receive the output.

It is not possible for a function to have two outputs. A function relates each number in a set with exactly one other number in a set. If it has two outputs, it still means that it is a relation but just a function.

 

 

 

Core Competent Canadians

Before completing this activity, I knew that the Core Competencies were a method of demonstrating your knowledge, effort and responsibility after completing an assignment. It is a way of reflecting on your own work and showing what you are proud of, how you improved and what you can work on for the future. I found this activity very helpful to further expand my understanding on this topic.

The knowledge of the Core Competencies can help you in your personal life by being able to reflect on your own work and being able to analyse the information that you were able to demonstrate. I helps you become a better civilian and an active member to the Canadian society. These Core Competencies help students improve not only and positive learners but also as future mentors and models for our generations.

Math 10 Week 8 – Domain and Range

This week, we started to learn about relations. I thought that Domain and Range was really interesting and easy to understand once you have learned about it. In this blog post, I am going to talk about Domain and Range.

Domain: The domain of a function is the complete set of possible values of the independent variable.

Range: he range of a function is the complete set of all possible resulting values of the dependent variable.

Domain is always the X value and range is always the Y value. ( X is red and Y is blue).

If the relation is discrete, the domain and range would look something like this:

{X|0,3,-3,2} {Y|2,4,-2,}

If the relation is continuous but had a determined end the domain and range would look something like this:

{X|-3<X<3, XER} {Y|-2<Y<4, YER}

If the relation is continuous but didn’t have a determined end the domain and range would look something like this:

{X| XER} {Y| YER}