Let r(x) = p(x)/q(x), where p(x) & q(x) are polynomials with no common zeros. This graph is of r(x). a/What are the vertical asymptotes of r(x)? Express them as lines.May assume they happen at even integer values. b/What do the vertical asymptotes in the graph tell you about the equation for r(x)? Be as specific as possible.

Q: Find all asymptotes of f(x) +3x³+x²+4x+5 x²+1 =x² + 3x + x+5 x²+1

A:

Q: Create a polynomial function f(x) (degree 3 or higher with 2 or more terms) and a rational function…

A:

Q: what is the vertical asymptote of y=3x+3 over 2(x+2)

A: Given function is y=3x+32x+2. We have to find the vertical asymptotes of the given function. Notes:-…

Q: 2y dr - y dy y (x-2y) dy, y(0) =-1 O x = 2y - e +3 %3D a y = 2r- e+3 0x= 2y-e+3 O x = 3y + 2e +1

A: Given DE is 2y dx-y dy=y(x-2y)dy ⇒dx-12dy=12(x-2y)dy⇒dx=121+x-2ydy⇒dxdy=12+x2-y⇒dxdy+x-12=12-y Which…

Q: Consider f(x) = 0.01x -0.18x³ - 1.08x21.26x8.05. 1 3. (a) Sketch a quick graph of f(x) on the…

A: In this problem, we are given a polynomial function f(x) = 0.01x4 - 0.18x3 - 1.08x2 - 1.26x - 8.05…

Q: Consider the following higher degree polynomial function f(x) = -2x2 (5-2x) (x² + 1). f) Sketch the…

A: Hence the required answer is given belowExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Analyze the polynomial function f(x)=x^2(x+9) using parts (a ) through (e). The lesser zero of the…

A: Here we have to draw the polynomial f(x) = x2 ( x + 9) and analysis the polynomial function.…

Q: You are given polynomial function f(x). Consider a new function g(x)= 1/f(x)   How would you…

A: Let f(x)=ax2+bx+c be the polynomial function with α, β roots of it. f(x)=k(x-α)(x-β), k≠0 So here…

Q: A graph of y=f(x) is shown, where f(x)=2x^5-3x^4+x^3-8x^2+5x+3 and f(-x)= -2x^5-3x^4-x^3-8x^2-5x+3.…

A:

Q: Use the function (x-6)(x+7)/(x+3)(x+4)(x+7)

A:

Q: P(x) = -(x – 3)²(x + 1)²

A:

Q: Use the x-intercepts (don't forget the multiplicity), the end behavior, or any other properties of…

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: Write a function f(x) that has the given characteristics. f(-6) = f(8) = 0; f'(1) = 0; f'(x) 0 for…

A: The given conditions are .The aim is to find the equation of the function .

Q: Create a polynomial function of the form: f(x) = a (bx + e)(cx +g}*(dx + h)°, with the following…

A:

Q: P(x) 3 x³ (x + 2)(x – 3)²

A: Given polynomial function Px=x3x+2x-32. The main objective is to sketch the graph of this polynomial…

Q: Graph the functions f(x)= -2x -1 and g(x)= -1/2(x-2)^3 - 5 by hand to determine graphically where…

A: First we have to graph both the functions using shifting, scaling and flipping.