Zeroes of a Function 

Whenever a function hits the x-axis, that point is known as a zero. Haha, how can a number greater than zero be a zero. 

When the function is set to be an equation, it is always set to zero. For example, x+4=0

Always isolate the x variable as it is where the point of which it meets the x-axis. 

It can be also called roots, since the x-axis is horizontal and respects the ground floor.

When you solve for a zero, it would be basic algebra. So if you haven't taken Algebra 1, you can be in big trouble because many functions are required to be solve using this method. 

Pun of the Week: 

Some mathematicians are reluctant to cosine a loan.

Peace wise Functions

1. "In mathematics, a piecewise-defined function (also called a piecewise function or a hybrid function) is a function which is defined by multiple sub functions. Each sub function applying to a certain interval of the main function's domain (a sub-domain)."

   I don't even know what that means. 

   

   From the looks of this graph, and from what Ms. V taught me was that the peace wise function ends with the function then continues. Each function will graph differently due to the restrictions. The middle function is usually one point to another. While the other two functions are continuos from one end to another. 

Joke of the Week

The fattest knight at King Arthur's round table was Sir Cumference. He acquired his size from too much pi.

This week got this weird project on how transformation are needed to reach certain point on an axis. Each reflection is turned into a "hero" identity and each have their own personality. Each problem is also given their story and how they must be solved. 

There are three main transformation: Reflection, rotation, ad translation 

The other important transformation is resizing (also called dilation, contraction, compression, enlargement or even expansion). 

Reflection: Every point is the same distance from the central line! and the reflection has the same size as the original image. The central line is called the Mirror Line.

Rotation: The distance from the center to any point on the shape stays the same.Every point makes a circle around the center.

Translation: Every point of the shape must move:

1. The same distance 

2. In the same direction

We got a special assignment but my work was required to be scanned and they are right below: