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MATH 1021 Chapter : Section 2 1

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azuremammoth471

15 Mar 2019

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The rectangular or cartesian coordinate system consists of the x-axis, the y-axis and the origin. Any point p can be located by using an ordered pair (x, y) of real numbers. The distance between two points p1 = (x1, y1) and p2 = (x2, y2), denoted by d(p1,p2) is y y d p p. The distance formula comes from the pythagorean theorem. The midpoint m = (x, y) of the line segment from p1 = (x1, y1) to p2 = (x2, y2) is. P1=(x1, y1) x2 - x1 d y y2 - y1. The midpoint of the line segment between two points is the average of the x and y coordinates. Find the distance between the points and the midpoint of the line segment containing the two points.

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Complete the square of the given quadratic expression. Then, graph the function using the technique of shifting. f(x) = x2 -6x + 8 Complete the square by entering the correct numbers into the expression below. f(x) = (x-( ))2 + ( ) Choose the correct graph below. The function f is defined as follows. Find the domain of the function. Locate any intercepts. Graph the function. Based on the graph, find the range. Is f continuous on its domain? The domain of the function f is (Type your answer in interval notation.) Locate any intercepts. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The intercept(s) is/are . (Type an ordered pair. Use a comma to separate answers as needed.) There are no intercepts. Choose the correct graph of the function below. The range of the function f is (Type your answer in interval notation.) Is f continuous on its domain? 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Show transcribed image text Complete the square of the given quadratic expression. Then, graph the function using the technique of shifting. f(x) = x2 -6x + 8 Complete the square by entering the correct numbers into the expression below. f(x) = (x-( ))2 + ( ) Choose the correct graph below. The function f is defined as follows. Find the domain of the function. Locate any intercepts. Graph the function. Based on the graph, find the range. Is f continuous on its domain? The domain of the function f is (Type your answer in interval notation.) Locate any intercepts. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The intercept(s) is/are . (Type an ordered pair. Use a comma to separate answers as needed.) There are no intercepts. Choose the correct graph of the function below. The range of the function f is (Type your answer in interval notation.) Is f continuous on its domain? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Yes, f is continuous on its domain. No, f is discontinuous at x = . (Use a comma to separate answers as needed.) The function f is defined as follows. Find the domain of the function. Locate any intercepts. Graph the function. Based on the graph, find the range. Is f continuous on its domain? The domain of the function f is (Type your answer in interval notation.) Locate any intercepts. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The intercept(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.) There are no intercepts. Choose the correct graph of f(x) below. The range of the function f is (Type your answer in interval notation.) Is f continuous on its domain? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. No, f is discontinuous at x = |. (Use a comma to separate answers as needed.) Yes, f is continuous on its domain. Find the distance d(P1 P2) between the given points P1 and P2. P1 =(-5,2) P2 = (4.4) d(P1, P2) = (Simplify your answer. Type an exact answer, using radicals as needed.) Solve the inequality. Express your answer using set notation or interval notation. Graph the solution set. Choose the correct answer below that is the solution set to the inequality. Choose the correct graph below that is the solution set to the inequality. Determine whether the graph below is that of a function by using the vertical-line test. If it is, use the graph to find its domain and range. the intercepts, if any. any symmetry' with respect to the x-axis, y-axis, or the origin. Is the graph that of a function? Yes No If the graph is that of a function, what are the domain and range of the function? Select the correct choice below and fill in any answer boxes within your choice. The domain is The range is (Type your answers in interval notation.) The graph is not a function. What are the intercepts? Select the correct choice below and fill in any answer boxes within your choice. The graph of an equation is given. List the intercepts of the graph. Based the graph, tell whether the graph is symmetric with the respect to the x-axis, y-axis, and/or the origin What are the intercept(s) of the graph? Select the correct choice below and fill in any answer boxes within your choice. The intercept(s) of the graph are (Type an ordered pair. Use a comma to separate answers as needed.) There are no intercepts. Determine if the graph is symmetric. It is symmetric with respect to the x-axis. It is symmetric with respect to the y-axis. It is symmetric with respect to the origin. The graph is not symmetric. Solve the following inequality. Graph the solution set. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 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