Part 1: Given a rational function, graph it and identify ALL key characteristics. 1. y = 2. у‑ 3x-6 1. Zeros 2. Vertical Asymptotes 3. Horizontal Asymptotes 4. Holes 5. Slant Asymptotes For each of the above characteristics (1-4) from part a, explain how the characteristic of the graph can be predicted using the algebraic form. You should write at least one separate sentence for each characteristic. If your graph/function did not have that characteristic, explain why.

Q: Given the two functions, explain how the characteristics (Zeros, Vertical Asymptotes, Horizontal…

A: for vertical asymptotes, put denominator=0 and for zeroes, put y=0

Q: -points of inflection (including both x and y values - you may use decimal approximations) -a sketch…

A:

Q: 5. Which function does NOT have an asymptote of x = 3? * 1 ソ= ズ-3 4. ソ= (x- 3)2 Option 1 Option 2 2x…

A: An asymptote  is a straight line that constantly approaches a given curve but does not meet at any…

Q: 5. Determine the horizontal asymptote. 3 x³ +2x²-6 a. y = b. y = C. 2 f(x) = X x¹ +3x³ + x² -7…

A:

Q: x2-5x-14 Graph function of f (x) = (A -8 marks; C-4 marks). X-4 Remember that in order to graph this…

A:

Q: Graph the function y =- x-2 2 +1 ;+1 must use a dotted line to identify the vertical and horizontal…

A: The given function y=2x-2+1

Q: Find all horizontal asymptotes of the given function, if any. x2 + 3x - 4 g(x) = x- 4 O A. y= 4 O B.…

A: find the horizontal asymptotes.

Q: Find all intercepts, asymptotes, and hole(s) if there is any. Sketch a graph using table of signs.…

A: Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: II. State whether the graph of the equation opens right and left or up and down. Also, find the…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: What is the equation for the vertical asymptote of the graph of the function shown? 8 -4 0 4 a) y =…

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Q: The graph of y= is shown below +2 *+5 -9-8-7-6-542-10 1 2 3 4 5 6 7 8 9 -2 X What is a possible…

A: To determine the factor which leads the the asymptote.

Q: 5X 37 ₁ y= √²-1 X

A: To make a sketch of the following rational function.

Q: QUESTION 15 Not yet answe Find the domain and the vertical asymptotes, if any, of the following…

A: Given x3-4x2+14x+45

Q: 2) Give an example of an equation of a rational function Q satisfying all of the conditions:…

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Q: h(x) = 8 sedx + 1) 4

A: Given that: h(x)=8secπ4(x+1)

Q: 9. In each part, find the horizontal asymptotes, if any. 2x - 7 x³ - x² + 10 x² - 4x 3x² - 4x (a) y…

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Q: 3. Find the vertex, and the x-intercepts of the function below. f(x)=x^2-6x+8 a. The vertex of the…

A: Compare with standard equation of parabola for vertex

Q: I have even symmetry and my range is all real numbers less than 7. I've been shifted up 7 units and…

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Q: 15. Given, X-1 f(x) = x2-x a. Find the vertical asymptotes of the function b. Find the domain of the…

A: Let's find.

Q: Graph the functions including the labels of 2 key points and any asymptotes ON the graph. 1. y = 2…

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