12 Mathematical Models #1-(a)fb),(c),(dMe),(f), 2(b).(d),(c)) Candy each fanctin

Question

12 Mathematical Models #1-(a)fb),(c),(dMe),(f), 2(b).(d),(c)) Candy each fanctin as powe unction, polynoeial (state its degree), tational fution algpbesc busecticontrgnmetic 1-(d) r(a)-(e))a 2 2-(b) #1) Suppose the gr 1-16 t)- 1.3 New functions from old functions from the graph of f as follows aph of f is given. Write equations for the graphs that aze obtals (a) Shift 3 units upward (c) Shift 3 units to the right. (d) Shift 3 units to the left. (e) Refect about the z-axis () Reflect about the y-axis #3132) Find f + (b) Shift 3 units dowwrd g, f _ g, f . g.. and state their domains 3536A0) Find the functions fg,,.,fe,and go 9 and then: dersins # 35) f(z) -1, g(z)-2x + 1 #36)/(1)-1-r', g(z)- 43) Express the function F(z) = (za + 1)20 in the form f9. # 44) Express the function Fla-sin(in the form fg. 50) Use the table below to evaluate (a)/(g(1)) (b) g(f(1)) (d) glg(1)) (e) (go 1(3) (OU o 9)1(6) 1 2 3 45 6 x) # 60) If you invest z dollars at 4% interest compounded annually, then the am unt A(r) of the investment after one year is A(z-104r. Find Ao A, AAo A, and AoAAA What do these compositions represent? Find a formula for the composition of n copies of A. g(x) 6 3 2 1 2 3

Explanation / Answer

1)

a) There is a root in the function, therefore root

b) There is a root in the function, therefore root

c) A variable by itself with an exponent that is an integer is a polynomial, therefore polynomial of degree 4

d) Rational means a fraction and, there is a fraction, therefore rational

e) Trigonometric

f) There is a log function, therefore it is logarithmic

2)

b) algebraic

c) When a number has a varaible exponent, therefore exponential

d) POwer function

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