Use your calculator to graph each polynomial and locate the \(x\)-intercepts. Set \(\text{Xmin} =-4.7\text{,}\) \(\text{Xmax} = 4.7\text{,}\) and adjust Ymin and Ymax to get a good graph. Write the polynomial in factored form. Expand the factored form of the polynomial (that is, multiply the factors together). Do you get the original polynomial?
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Desmos offers best-in-class calculators, digital math activities, and curriculum to help every student love math and love learning math.

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  • Unit Rates and Graphs Worksheet 1 (Decimals) - This 9 problem worksheet features graphs that represent everyday situations. Some of the unit rates are obvious, but on some problems students will have to analyze the graph scale to identify the correct unit rate. Decimals are found on some of the graphs and in some of the unit rates.
  • Graph this data. Write a trigonometric equation using the cosine function that best models this situation. Rewrite the equation using the sine function. For which places would the sine function be a more obvious model for the temperature data? The long-term average temperatures for Wellington were given above.

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To graph a rational function, find the asymptotes and intercepts, plot a few points on each side of each vertical asymptote and then sketch the graph.

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  • The numerals a, b, and c are coefficients of the equation, and they represent known numbers. For example, a cannot be 0, or the equation would be linear rather than quadratic. A quadratic equation can be solved in multiple ways including: Factoring, using the quadratic formula, completing the square, or graphing.
  • A rational function is the ratio of two polynomials P(x) and Q(x) like this. f(x) = P(x)Q(x) Except that Q(x) cannot be zero (and anywhere that Q(x)=0 is undefined) Finding Roots of Rational Expressions

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2. Have students graph with or without a calculator the function. 3 2 ( ) x x f x. Then, have them discuss their graphs with partners and write down any observations they can make about the function. Hold a class discussion with students sharing their observations. 3. Have students complete by hand a table of values for the function, using the ...

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Rewrite rational expressions 6. Rewrite simple rational expressions in different forms; write a(x)/b a) determining the slope of a line when given an equation of the line, the graph of the line, or two Use graphing calculators as a tool to investigate the shapes and. behaviors of these functions.

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The intersection of these graphs contains no numbers. That is, the solution set is the empty set, . A way to graph the empty set is to draw a number line but not to darken in any part of it. The graph of the empty set is shown in Figure 5. Figure 5. The empty set.

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Graph the points with a 3rd order polynomial scatter plot. Have the program label the scatter plot equation and quality of fit (M squared). Excellent question. The stock market, IF it is left to its normal cycles, patterns, new generations of investors etc. functions very well even during recessions.

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Subsection Finding a Linear Equation from a Graph. We can also use the slope-intercept form to find the equation of a line from its graph. First, we note the value of the \(y\)-intercept from the graph, and then we calculate the slope using two convenient points. Example 1.133.

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Graph this data. Write a trigonometric equation using the cosine function that best models this situation. Rewrite the equation using the sine function. For which places would the sine function be a more obvious model for the temperature data? The long-term average temperatures for Wellington were given above.

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