4/12/2023 0 Comments Sign chart calculusStudents are asked to create a sign chart of f and f'. Let’s take a look at the graph and see if we can spot how the concavity changes at those points. This activity is divided into three parts.Part I: In this part the graph represents a function f(x). Thus the two inflection points for this function are: (-3, -33.55) and (4, -138.67). (A calculator can help out greatly here!) Plug each of those points into the original function f( x) to find their corresponding y-coordinates. That means that the only inflection points are at x = -3 and 4. Notice that there is no change in concavity at x = 0. into smaller intervals using the critical points as endpoints. The numbers are the degree locations of each house based on the degree in the sign. Notice the outer ring with the zodiac symbols in between numbers. These signs are named for constellations of stars such as Aries, Taurus and so forth. Therefore, the function is concave up on (-∞, -3) U (4, ∞). When a chart is erected, it is put on a 360 degree wheel with 12 signs of 30 degrees each.
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