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Consider the polynomial below. \( f(x)=-3x(x-4)^2(x+2)^3 \)….

Consider the polynomial below. \( f(x)=-3x(x-4)^2(x+2)^3 \). 1. What is the leading coefficient? {#1} 2. What is the degree of f? {#2} 3. Select the option that correctly describes the end behavior of f. {#3} 4. Describe each zero of f and its multiplicity using the table below. Order the zeros from least to greatest in the table. Zero Multiplicity {#4} {#5} {#6} {#7} {#8} {#9} 5. Find coordinates of the y-intercept. ({#10}, {#11})

Find all asymptotes of the rational function below. Type “No…

Find all asymptotes of the rational function below. Type “None” if it does not have the respective asymptote. \( f(x)=\frac{x^3-3x^2+5x-2}{x^2-8x+12} \) Vertical Asymptotes (use form x=a):  {#1} and {#2} Horizontal Asymptote (use form y=a): {#3} Oblique Asymptote (use for y=mx+b): {#4}

Consider the quadratic \( f(x)=x^2-4x+2 \). For each part th…

Consider the quadratic \( f(x)=x^2-4x+2 \). For each part that follows, show all work on paper for partial credit consideration. 1. Find the vertex of f using the vertex formula. ({#1}, {#2}) 2. Find the exact values of the zeros of f. Enter your answers below. Use “sqrt(a)” to represent the square root of a as needed. Zero 1: {#3} Zero 2: {#4} 3. State the range of f. Type your answer in the box below using standard interval notation. (You may copy/paste ∞ as needed). {#5}