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Chrome File Edit View History Secure https/lassessment.casa.uh.edu/Assessment/Quiz.aspx?id-E1880809-4300-4903-8CFB-BEOEBF1FS3F9gs Give an equation of the form f(x) = Atan(R-C)+Dlwhich could be used to represent the given graph. Nee: Clor Dmry herero) Help Quiz c) f(x) = 3tan(x + 2)-11 5 6 7 8

Solution

Ans: From the graph we can see that at x = 0 the f (x) = -1 also at x = pi/2 the f (x) = -1.

Cross checking with the options only option (e) satisfies the conditions.

f (0) = 3 tan (2*(0)- pi) -1 = 3 tan (-pi) -1 = -1 as tan (pi) = tan (-pi) = tan (0) = 0

Also f (pi/2) = 3 tan (2*(pi/2) - pi) - 1 = 3 tan (0) - 1 = -1.

Hence the equation representing the graph is f (x) = 3 tan (2x - pi) -1.