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Ul maximum value of the function 2) Given:-0.25x2)2(x a) Identify the leading te

ID: 3114482 • Letter: U

Question

Ul maximum value of the function 2) Given:-0.25x2)2(x a) Identify the leading term b) Determ c) Fin ine the end behavior of the graph of the function d all zeros of the function and state their multiplicities 3) Determine the horizontal, vertical or slant asymptotes for the following: x-7 -3x+1 p(x)--32-1 m(x)=5x3-2x4 b) c) 3x2+4 ) Given: 5x 47x3 -80x2-51x -9. Prove the following. a) Is j a zero of fíx)? b) Is -1 a zero of f(x)? c) Is (x-1) a factor of f(x)? d) Is (x-2) a factor of f(x)? ) Use the remainder theorem to evaluate f(-2)

Explanation / Answer

2) -0.25x3(x-2)2(x-1)4

a)leading tearm is -0.25*x3*x2*x4 = -0.25x9

b) as x goes to +ve infinity its value is negetive infinity

as x goes to -ve infinity its value is positive ,as order of x is negative and there is - singn in front of expression , hence resultant will be positive

c)zeros of the function are x=0 multiplicity is 3

                                            x = 2 multiplicity is 2

                                            x= 1 multiplicity is 4