Finding Zeros of a Function

The zeroes of functions is where the graph crosses x. To find zeroes of a function you set the equation equal to zero. Another way to do/say this is to set y equal to zero. Once you do this simply solve the equation for x. Some times you will get more than one answer and that's okay. When you get the same number multiple times that number has multiplicity. For example if you get the number two three times you would say 2 has a multiplicity of three and if 5 appeared seven times you would say five has a multiplicity of seven. Here is an example of finding zeroes. 

Piece Wise Functions

A piece wise function is when a function has two different formulas that are both defined on the domain of f. Even though they are two different equations they are looked at as one function. They are usually used to represent the negative and the positive numbers. For example one equation usually has the restriction of x<0 and the other equation is x>0. To graph a piecewise defined function you graph each equation as you would normally and then it is either considered continuous or discontinuous. A continuous graph is when you don't have to lift your pencil when tracing the graph. A discontinuous graph is disconnected in places. Here is an example of a piecewise function problem.

Superhero Transformations

Today I worked on superhero transformations. There are six superheroes, lady straightedge, pawabawa, robo-grow, captain abs, radical girl, and bipolar tommy. Lady straightedge represents a straight line, her equation is f(x) = x and she has nuclear fusion blasts from her eyes. Pawabawa is a parabola his equation is f(x) = x^2 and he has parabolic kinetic rays. Robo-grow is from the exponential family, her equation f(x) = 2^x and she has a ginormous robot suit. Captain abs represents absolute value his equation is f(x) = |x| And he has finger beams. Radical girl represents a square root her equation is f(x) = sqrt x and he has ninja skills with a sword. Lastly bipolar tommy represents Cubing and his equation is f(x) = x^3 and he has a curvy laser gun. All these superheroes and their powers helped to complete the missions. 

What is a Function

A function is usually represented by the letter f. In a equation it is usually written like f(x) (meaning f of x). This f(x) simply represents why in an equation. For example you can rewrite f(x)=3x-5 as y=3x-5. To use functions in equations, take whatever's in the x spot and replace it with the x's in the equation. For example for f(2)=3x-5 replace the x with a 2 like 3(2)-5 and the final answer is 1. You can also use functions in domains and intercepts. Here is another example of a function problem.

What I Learned This Week

This week I learned lots of fun things about math. First I learned about inequalities and set notations.  We learned how to express inequalities and write them in interval notation.  Also I learned to use the Sign Chart Method which is

1. Make the inequality with a zero on one side
2. Factor
3. Mark where factors are zero
4. In each interval determine the sign

I also learned about absolute value and its properties and I learned about the rectangular coordinate system and how to graph with inequalities. Lastly I I learned and circles and graphs, the equation of a circle, semi circles and symmetry. Here is a picture of my notes....

All About Me

My name is Mary, i am 16 and I am bad at math. 

Some interesting facts about me are...

• i love sourcream, reading, and boybands (its only two don't judge please)
• i have a strange fascination for World War II
• i love shopping for school supplies more than clothes
• Costco will always be more precious to me than Forever 21 or any other store....at all
• i have 7 siblings, 3 brothers and 4 sisters
• i was home schooled until high school
• i currently have a minor slash major obsession with Bastille, Megan Trainor, Ed Sheeran and TRXYE
• there's nothing i want more than a unicorn pillow pet
• i was cher lloyd in another life
• and i really really don't like math but i'm trying to!!

aaaand yeah!

thats me....

yay

okay

bye