The Law of Sine

When using the law of sine it is used to determine the lengths of unknown angles and sides for both right triangles and oblique triangles. If you don’t already know what an oblique triangle is, it is simply a triangle with no right angles. The three different form of triangles are Scalene, Isosceles and Equilateral…

week 12- Irrational Exponents

Irrational exponents means that you can have a base number raised to a square root power. In this desmos activity I was asked to complete a few irrational exponent equations. This included finding the exact number of 4^3.14 and we all know that 3.14 means pi. Then I also had to solve for them raised…

Sail Boat

In this assignment there was an activity on GeoGebra and there was a sail boat involved. I had to click on a circle that would rotate in a circle and see how it affected the boat in the water. Ton my observation the water levels either went up or went down. Then I click on…

Logarithmic Scales

A Decibel Scale is a scale that measures intensity. Then there are also octaves that are also logarithmic scales but they measure frequency. In this assignment I decided to focus on the f/stop of logarithms which regulates how much light is allowed through the lens by varying the size of the hole the light comes…

Inverse Functions

Inverse Functions is a function that reverses another function. In this Desmos activity I had draw points that showed one function was the inverse of the other. I also had make a graph of my own that shows the inverse of one graph. The image below shows an example of an inverse function because the…

Exponential Skyscraper

The difference between a growth rate and a growth factor is that the growth rate is the percentage in which something grows by and the growth factor is how much it grows by. In this problem we were introduced to one idea of how growth factor and growth rate works and then we applied it…

One-to-What?

What makes a function one-to-one is when it passes both the vertical and horizontal line test. For example, f(a)=f(b) which means that a=b , then f is 1-1. Another example of a one-to-one function is f(x)= x^3. Then there are those that are not on-to-one functions. Two examples are f(x)=|x|and f(x)=x^2. With a horizontal line…

Dr. Rational

In medicine, rational functions are used to measure many things differently. In this case from the Desmos example, it was used to measure how long the anesthesia would take to get to its lowest point in a patient as time goes by. I chose two equations one that I think would model the concentration of…

Imagine all the Numbers!

Imaginary numbers are complex numbers that can be written as a real number. Then complex numbers are real numbers plus an imaginary number. They take the form a+bi, where a and b are real numbers. But, a, is called the real part and b, is the imaginary part. In one example from the desmos website…

Week

Factoring is something used in math to get the roots of a polynomial. It is used very often throughout math. After factoring we usually find the vertex points based on the roots that we find. One thing that always made remember how to factor is find two numbers that add up to the B constant…

Week 3- Assignment D

A quadratic equation is an equation of the second degree which means that one of its terms has a squared root. It is also like standard form (ax^2+bx+c=0). Where a, b and c are constants and x is an unknown variable. The connection with a quadratic function and these basketball shots is that a quadratic…

Week 3-A

A piecewise is defined by multiple sub-functions, each applying to a certain interval of the main functions domain. It makes sense to me to call this function piecewise because it has two different kind of functions that I think share the same domain and range when it is applied correctly. When I moved the purple…