Zeroes of Functions

Hello,

The zeroes of a function are known by many names. Some of these names include the x-intercept, x value. However, they all boil down to one thing. Solving for x. In a function f(x), if f(x) = x - 1, the zero would be 1, as when one solves for x, by adding a 1 to both sides, one can isolate the x. Zeroes are a key unit to solving any math equation, and are often asked for in many math problems inside and outside the classroom. Finding the zeroes is incorporated in algebra, calculus, math analysis, and geometry, and trigonometry. Pretty much every aspect of math.

Thanks,

Kaili Chiu

Piecewise Functions

Hi,

Today in Mathland, I learned about Piecewise functions. The funny thing about these is that they are multiple functions put together in the Cartesian Plane. We found the domain of the functions, and used it to plot each of them. Later, we discovered whether they were continuous or discontinuous. This can be found just by looking at the visuals of the plotted functions. If it is discontinuous, we would state where and at which points it was discontinuous. In addition, we also learned how to plot and identify [(x)] functions.

Thanks,
Kaili Chiu

Superhero Functions

Hi,

In the assignment for the f(x) men, we used specific functions to complete missions. This project allowed us to learn about transformations in functions, and how they are represented on the Cartesian plane. We used specific functions as superheroes to defeat the evildoers by transforming the function so that the function would hit certain points where the targets were. In certain graphs, we had to combine heroes and eliminate in the least amount of moves possible, and in others, we could only move along a certain axis. Some of these functions were 2^x, linear functions, parabolas, cubic functions, absolute value functions. The hardest mission was "The Outer Demon - Magic Foxes", where we had to finish the mission using negative functions. Overall, this was an interesting assignment that allowed us to understand transformations of functions.

Thanks,

Kaili Chiu  

    

What is a function?

Hi,

Today in the land of Math, I learned about functions. A function is an equation like f(x) = 2x + 1. F(x) is the f times x value, and can be used as the y for use in solving the equation. Domain is an important part of functions, and explain the x-entries possible. The y values are represented in range. Domain can be almost anything. In the case of square roots, however, one cannot put negative values in as x, since negative radicals are not in the real range. In a fraction, the denominator cannot be 0, or undefined.

Thanks for reading,
Kaili Chiu

What I Learned This Week

Hi,

I learned much over this week in Mathland even though I am still only a squire. I learned about Absolute values, circles in addition to Sir Cumference. Most of the concepts that were reviewed were easy and pretty easy concepts, although the review was needed, and refreshed my memory. In class we learned how to set up our web assign accounts and also troubleshooted problems with our Ipads. In the way of learning how to graph circles, we relearned completing the square in order to create a usable equation. In addition to circles, we also learned semicircles and absolute values. Absolute values are the distance from an integer to zero, and therefore all numbers' absolute values is positive, since there cannot be negative distance. Overall, it was an interesting week in Mathland.

Thanks,
Kaili Chiu

All About Me

Hi,

My name is Kaili Chiu. I am 15 years old, and my birthday is January 20, 1999. Throughout my early life (from 5-11) I was a happy child, and was very interested in the sport of Archery. I picked up the sport and progressed, shooting in competitions such as the Nationals. Throughout my 15 years, my parents, Lihu and Lucille have been caring, understanding, and patient, teaching me essential lessons and instilling morals. My sister of 13 years is very mature, and is often mistaken to be older than me, competitive, and artistically and musically gifted. When I was 4, I enrolled in High Point Academy, a Primary School from grades 1-8. At around the grade 6, I picked up the sport of Golf, and was intrigued by the complex nature of the activity. To this day, I still play golf for the Maranatha Golf Team, and am happy with my life at the moment. I enjoy other interests like art, music, and video games, although for most days out of the year, I attend a Christian school called Maranatha High School.

Thanks,
Kaili Chiu