Function Essays

Dealing with Rational Functions Recently in Precalculus Algebra at Wake Tech, we have been working extensively with analyzing and graphing ration functions. Rational functions are expressed in the form of fractions in which both the numerator and the denominator are polynomials. In other words, these functions have x in both the top and bottom of the fraction. Before many rational functions can be properly analyzed and deciphered, they must first be completely simplified, which often times includes

Analyzing the Sine and Cosine Functions Choice #1 f(θ) = cos(θ) • Amplitude: The amplitude of this cosine function is 1 since there is no number in front of cos to represent |a|. The designated amplitude is therefore 1 meaning the maximum = 1 and the minimum = -1. The cos curve will be in between these two points. The largest y-coordinate on the unit circle is 1 since the radius will always by 1. • Period: The period of this cosine function is 2π meaning the function repeats its self after every

Or we can draw a line graph: Formative Assessment Activity 5 Please follow the instructions from your facilitator to complete the Activity in your Formative Assessment Guide 3.2 Compare, analyse and describe the behaviour of patterns and functions In the previous section, we looked at how to

Smiley, Gregory College Algebra- Math 1111- SO Evaluate the difference quotient f(x+h)-f(x)/h So this equation is probably going to be in an calculus class also I have yet to take it yet, but I do understand this is in college algebra for which I have taken it. The equation is f(x+h)-f(x)/h. This formula finds the slope of the sectant line that goes through two points that are on a graph of f. These are the points with x- coordinates x and x+h. It also allows you to find the slope of any curve

Summary: When integrating function expressed with the new term variable u, we provide the neutralizing factor or “nf” written before the integral sign. This nf could be balance with the given term of the integration. The antiderivative of the trigonometric, exponential, and logarithmic functions would be based on our knowledge on the differentiation formulas since integration is for the reverse of finding the function. A separable differential equation is any differential equation that we can

where $x_i,i=1,2, cdots ,n$ are the states, $underline{x}_i=[x_1,cdots,x_i]^{T} in{R}^i$, $i=1,2, cdots ,n $, $uin {R}$ is the input, and $f_i(cdot)$,$i=1,2, cdots ,n $ are the unknown smooth nonlinear functions which satisfy the global Lipschitz condition. It is assumed that the output $y(cdot)$ is sampled at instants $t_k,k=1,2, cdots ,n$, which represent the sampling instants. $T=t_{k+1}-t_k$ is the sampling interval which is a positive constant. The output signal is available for the observer

Figure 1 shows the visual output of transforming the quantitative information presented in Table 1 into the so-called bubble plot, which is essentially a special version of a scatterplot (Kabacoff 2011, p.278f.). The graph in Figure 1 visualises co-occurring nominal collocates of hot and warm in the COHA decade of the 1860s. The x-axis designates the co-occurrence frequency per million words of collocates with hot whereas the y-axis portrays their co-occurrence frequency per million words with warm

The unit A.2 test is my best assignment because I find question involving linear functions the easiest to solve. When I learned the four ways to solve linear functions, I learned that if I’m unsure of an answer I can just use a different method to check if I have the same answer. One way to solve the y=mx+b formula when given only two points is to start by plotting the points; then draw a straight line from one of the points to the other. Then count up or down on the Y axis and count right or left

defined by \( \ g(x) = x^{2} \) Task 1a What is \( \ g^{-1}(4) ? \) The Process Firstly, let us find \( \ g^{-1}(x) \). As we know the inverse will be undoing what \( \ g \) has done to \( \ x \) using the following steps ↓ Step 1. We write down the function \( \ g(x) = x^{2} \Leftrightarrow y = x^{2} \) \( \ y = x^{2} \) ↓ Step 2. We interchange variables by replacing the occurrence of y with x, and x with y \( \ y = x^{2} \rightarrow x = y^{2} \) \( \ x = y^{2} \) ↓ Step 3. Now we solve for y \( \

domain. Doing this for all the temporal frequencies and finally returning to the \textit{t-xy} domain, its finding the final result of regularization. During spatial regularization, as described above, we can think of these 2D slices as being 2D functions distributed in the $xy$ plane, something of the form:

-What is the domain of an algebraic expression? Domain is a set of values for the variable for which the expression makes sense. You can’t have zero in the denominator. As a result of this, restrictions are needed to list the values for the variables in which the denominator would equal zero. Closed dot on timeline = [ ] brackets. Which means that number is included. Open dot on timeline = ( ) parenthesis. (Infinity always uses parenthesis). Which means that number is not included. Example: 3x2

A “Tilted Arc” is an art installation created by Richard Serra, and American minimalist sculptor well-known for working with the large-scale installations of sheet metal. In 1981 he mounted a solid plate of COR-TEN steel covered in rust on Foley Federal Plaza in Manhattan. The plate is 120-foot long and 12-foot high which makes it easily noticeable. While attracting a certain constant amount of negative feedback, it still exists with the help of numerous defenders. However, the opponents of the arc

Freud, Kant and Nostalgia Sigmund Freud never directly tackled the concept of collecting in his psychology but just before he was forced to leave Vienna for London, the photographer ‘Edmund Engelmann’ photographed his 2,000 objects that Freud had kept over the previous 40 years after his father had passed away. These photographs provided a record that served as a replicate to the desk full of specimens that had always dominated Freud’s room in England. He proposed a more pragmatic account for

Key word: Teen Girls Room Title: Cute and Trendy Teen Girls Room from Modern Home Decors Meta Desc: Building a new home or renovate to a modern home, get professional advice from a modern home décor. Article: Many teen girls dream of a latest sleek and trendy teen room for them. This is because of the photos and videos available on the internet by blogs and reviews. The digital marketing does have vast importance by covering the worldwide market for modern home decors. Many do get inspiration from

Le Chatelier’s Principle relates how systems at equilibrium respond to disturbances. Equilibrium is disturbed when concentration, pressure, or temperature changes. Reactions want to stay at equilibrium. For the reaction to go back to equilibrium, it must shift to the left or right to settle the disturbance. In the given problem, the instructions were given to find the partial pressure of the reactant and the product using different equations. The equations used the formulas of (PNO2)^2/PN2O4=0.60

Part A. The technique on how to find the equation that only applies to point C and F, is to create a line or curve that only includes two of these points. In this case, I created a random line that isolates points C and F from the rest of the points. First, we have to find the equation of the line by choosing at least two points on the line. Using the slope-intercept form: y = mx + b, where m is the slope, Δy/Δx and b is the y-intercept. Let's choose the red points: Point 1(3,3) and Point 2(-4,-4)

Which protein brand out of the three proteins tested has the highest amount of protein and the lowest amounts of sugar and starch? We know that all three proteins are commercially available among many other brands and they all have different amounts and ratios of protein,starch, and sugar. Finding the “best” protein powder, containing the most protein content and the least amounts of sugar and starch can be hard for the consumer to judge based solely on the nutrition label. This experiment was based

The eighth chapter focuses on how to stand up and stand out to make a favorable impression. The author states that doing so will make a person feel more energetic, look younger, show politeness and respect, reveal when a meeting or conversation is coming to an end, appear more conclusive, and portray a proficiency in thinking on one’s feet. Next, Benton describes how to stand with a professional-like appearance. First, one should keep a calm, lively posture with their eyes and head even. Second,

Calculating Comparables You already know what a comparable is, but just in case you don’t, a comparable is a tool used to figure out the actual market value of a home or other property. There are many elements to completing a successful and accurate comparable, and even more ways they are useful in the real estate industry. You may have sold or purchased a home recently and used a “comp” to help you determine your offer or asking price. Maybe you’re considering property for a vacation home or workshop

Introduction We use language every day to inform, express, explain or socialize. The language we use in daily life varies since we have various identities in the society. Different word choices are used depending on the target, purpose and situation. Register changes at specific time either, to express the identity of oneself. In this portfolio, I will share my insight and experience gained from the course work. (I) My discourse communities The discourse community I wish to depict first is classmates