Question# 1. Analyze the graph of the function. F(x)= x^2-2x-3 / x+20 (a) What i

ID: 3116987 • Letter: Q

Question

Question# 1. Analyze the graph of the function. F(x)= x^2-2x-3 / x+20

(a) What is the domain of F(X)?

What is the equation of the vertical asymptote(s) of F(x)=

What is the equation of the horizontal or oblique asymptote of F(x)=

Choose the correct graph for F(x)=

Question # 2. Use the remainder theorem to find the remainder when f(x) is divided by x2.Then use the factor theorem to determine whether

x2 is a factor of F(X)

F(X)= 4x^4-11x^3+9x+6

the remainder is

is x-2 a factor of F(x)=4x^4-11x^3+9x+6?

Question #3. Use the rational zeros theorem to list the potential rational zeros of the polynomial function. Do not attempt to find the zeros.

F(x)= -9x^9-x^8+x+3

find the potential rational zeros c

f(x) = ( x^2 - 2x - 3 ) / ( x + 20 )

domian of f(x) is all values of x except x = -20

interval notation is (-infinity , -20 ) U ( -20 , infinity )

to find vertical asymptotes set denomintaor to 0

x + 20 = 0

x = -20

vertical asymptote = x = -20

since degree of numerator is greater than degree of denomintaor so there is no horizontal asymptote

there is slant asymptote which is found by dividing the polynomial

slant asymptote is y = x - 22

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