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6. [l2.85 Points] DETAILS SPRECALC7 3.6.019. MY NOTES ASK YOUR TEACHER Use transformations of the graph of y = 1/x to graph the rational function,

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6. [l2.85 Points] DETAILS SPRECALC7 3.6.019. MY NOTES ASK YOUR TEACHER Use transformations of the graph of y = 1/x to graph the rational function, as in Example 2. X+5 r(X) = x+6 O 0 State the domain and range. (Enter your answers using interval notation.) : range 7. [l2.85 Points] DETAILS SPRECALC7 3.5.012.M|. MY NOTES ASK YOUR TEACHER A polynomial P is given. P(X = X4 - X2 2 (a) Find all zeros of P, real and complex. (Enter your answers as a commaseparated list. Enter all answers including repetitions.) (b) Factor P completely. PM = S 2. {-12.85 Points] DETAILS SPRECALC7 3.4.058. MY NOTES ASK YOUR TEACHER A polynomial P is given. P(X) = 4x3 + 31x2 + 56X 16 (a) Find all the real zeros of P. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) x: (b) Sketch the graph of P. 3. [-I2.85 Points] DETAILS SPRECALC7 3.5.042.Ml. MY NOTES ASK YOUR TEACHER Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and zeros 4 and 1 + i. am =E 5:45 PM Fri Sep 30 . . . 1 74% webassign.net a 1. [-/2.9 Points] DETAILS SPRECALC7 3.6.055.MI. MY NOTES ASK YOUR TEACHER Find the intercepts and asymptotes. (If an answer does not exist, enter DNE. Enter your asymptotes as a comma-separated list of equations if necessary.) r (x ) = 2x2+ 2x - 12 x2 + X x-intercept ( x, y ) = ( (smaller x-value) x-intercept ( x, y ) = ( (larger x-value) y-intercept ( x, y ) = ( vertical asymptote horizontal asymptote Sketch a graph of the rational function. J 1095 100g 50 50 X -4 - 2 2 4 -4 -50 -50 O -100 O -100 y y : 100 109 50 -4 -2 2 -4 - Z 2 4 - - - - - - - - - 1-50 O O 100 State the domain and range. Use a graphing device to confirm your answer. (Enter your answers using interval notation.) domain range4. [-/2.85 Points] DETAILS SPRECALC7 3.4.017. MY NOTES ASK YOUR TEACHER All the real zeros of the given polynomial are integers. Find the zeros. (Enter your answers as a commaseparated list. Enter all answers including repetitions.) P(x) = x3 + 6x2 32 Write the polynomial in factored form. P(x) = 5. [-l2.85 Points] DETAILS SPRECALC7 3.4.013. MY NOTES ASK YOUR TEACHER A polynomial function P and its graph are given. P(x)=2x4+8x3+4x28x6 iiliIx (a) List all possible rational zeros of P given by the Rational Zeros Theorem. (Enter your answers as a comma-separated list.) Fl (b) From the graph, determine which of the possible rational zeros actually turn out to be zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) Fl

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