Question 1The graphs of f(x) = x? - 4 and g(x) = -x + 2 are sketched below. A andB are the x- intercepts of f.C and D are the y - intercepts of f and g respectively. K is a point on gsuch that BK / x - axis. f and g intersect at A and E.1.1Write down the coordinates of C(1)1.2.Write down the coordinates of D(1)1.3.Determine the length of CD(1)Calculate the coordinates of B(3)1.4(4)1.5.Determine the coordinates of E, a point of intersection off and g1.6For which values of x will(2)1.6.1. f(x) < g(x)(2)1.6.2. f(x).g(x) 20(2)1.7.Calculate the length of AK[18]

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Answered: The graphs of f(x) = x2 - 4 and g(x) =…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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+ 3. An amusement park is planning a new roller coaster. Part of it is to have the shape of the cosine function. The high and low points of this part differ by 24 meters and cover a horizontal distance of 40 meters from the high point to the low point. The low point is 6 meters below ground in a tunnel. Let y repre- sent the number of meters the track is above or below ground, and let x repre- sent the number of meters the track is horizontally from the high point. a. Sketch this situation. b. The equation y = 12 cos (4.5x) + 6 models the situation when x and y are in meters and 4.5 is in degrees per meter. Rewrite y = 12 cos (4.5x) + 6 as an equation for which the coefficient of x is in radians per meter. c. What is the length of a vertical support girder at the high point? At a dis- tance of 6 meters horizontally from the high point? At a distance of 20 meters horizontally from the high point? d. Measured horizontally, how far from the high point does the roller coaster enter the…
For the graph of the given quadratic function f(x) = ax² + bx + c... 10 11 -10 a. Tell whether "a" is positive or negative a. b. Determine the vertex b. c. Determine the axis of symmetry с. d. d. Determine the domain e. Determine the range е. f. Describe the end behaviors f. g. x intercept(s) g. h. y intercept(s) h. i. i. Find f(-9) j. j. Find x when f(x) = 4 MAT 014/114 AMP
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Match the function with its graph. y = 2(x + 4) – - 1 -5 -4 -3 -2 234/$ 6 -6 -54/-3 -2 4 $6 -6 -2 -1 4 $ 6 -6 -5 -4 -3 -2 -4 -2 +2 -2 -2
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Given x = |y| − 4 a.Determine the x and y-intercepts of the graph of the equation. b. Does the equation define y as a function of x?

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