Find the points of intersection of the graphs of the functions. Express your answers accurate to five decimal places. f (x) = 0.5x³ - 1.7x² + 2.3x - 2; g (x) = 2.8x - 4.8 A)(-1.21519, -8.20253), (3.15415, 4.03163) B)(-1.21519, -8.20253), (1.46104, -0.7091) (3)15415, 4.03163) C)(-1.21519, -3.40253) (1.46104, 8.83163) (3)15415, 4.0909) D)(-1.21519, -3.40253) (3.15415, 4.0909)

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Quizplus · Accepted Answer

To find the points of intersection, we need to solve the equation f(x) = g(x). 0.5x³ - 1.7x² + 2.3x - 2 = 2.8x - 4.8 Simplifying the equation, we get: 0.5x³ - 1.7x² - 0.5x + 2.8x = 4.8 - 2 Solving for x, we get: x = 1.46104 or x = -1.21519 Now, substituting these values of x in either equation, we can find the corresponding values of y: For x = 1.46104, y = 2.46225 For x = -1.21519, y = -0.7091 Therefore, the points of intersection are (1.46104, 2.46225) and (-1.21519, -0.7091). The answer is B.

Find the Points of Intersection of the Graphs of the Functions