In this activity, you will have to be creative!!! After learning how to graph rational functions, and how they work, you will need to create a graph that meets the following criteria. Because you are creating a sketch of a graph, your graph will NOT be based upon an equation....You don't have one to work with :) Again, you are NOT creating an equation or working with an equation. You are just drawing a sketch of a graph. Sketch a graph that has the following characteristics: 1) It must be a rational function. 2) It must contain 2 vertical asymptotes. 3) It must contain 1 horizontal asymptote at y=-2. 4) It must contain exactly 2 x-intercepts. 5) It must be symmetrical with respect to the y axis. Make sure your graph meets all 5 of these criteria. After creating the graph, and showing your understanding of rational functions, answer the following questions: 1. What is the domain of your graph? What is the range of your graph? 2. Could the y intercept be POSITIVE? Answer yes/no and then explain your reasoning. 3. If you had an equation (which you do not), what would be the factors of the denominator....based on your graphs asymptotes?

Q: Mrs. Jovie plans to create a graph of m(x) = 4x2. Four of her students described how it will compare…

A: According to the given information it is required to explain who of the given student's statement is…

Q: determine and correctly interpret the maximum or minimum of the functions that model the following…

A:

Q: Hello there! Would you be able to help me write the equations for these two graphed functions? I…

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

Q: This problem is similar to the other one I've tried to do but how would you solve this problem in…

A: Consider the function which is perpendicular to a line and passes through (-9,9),so this function is…

Q: what does b(x) = (-1) + f(x) mean when shifting a graph

A:

Q: Use the leading term test to describe the end behavior of the graph of the function f(x) - 1²/2x² +…

A:

Q: f'(x) > Ofor 0 4. f"(x)>0 for -1<x<1

A: When f'&gt;0 then function increasing When f'&lt;0 then function decreasing When f''&gt;0 then…

Q: Why should the definitions of increasing and decreasing functions must be satisfied by every pair of…

A:

Q: In a certain year, the amount A of garbage in pounds produced after t days by an average household…

A:

Q: compared to the graph y=f(x), for any f(x), what does the graph of 2f(x-3)+5 look like?

A: Let y = f(x) = x2  The graph of y = f(x) = x2 looks like

Q: Use the given graph of y= f(x) to evaluate the following. (a) f(-5) (b) f(2) (c) f(0) (d) f(-5)…

A: for finding value of fx, we find value of y-coordinate at x and for finding value of f-1y, we find…

Q: 3. f(x) = (x + 2)* -4 1: 4. -2- 0 -2---- -4 2 IN 4 x

A: note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: What is the graph of y = f(x+ 1) - 2?

A:

Q: Q4. What is the domain of the function f (x) = Vx+5 %3D x-2

A: Domain is the set of all points where the given function,f(x) is defined.

Q: Find the value of the graph of f(x) = -x² + 4 between x = -5 and x = 2

A:

Q: ← f(x) -4 -2 D 4 N 4 g(x) 2 >x a. Determine the domain and range of the functions f(x) and g(x) in…

A: In this problem, we are given line graphs for two functions,  and , along with their respective…

Q: f(x) = -x+3 2x-3 if x < 2 if x ≥ 2

A:

Q: How would I sketch a graph of R(x)= (-2)/(2x-3)^3 by moving the landmarks of the appropriate parent…

A: Given: R(x)= (-2)/(2x-3)^3. Here, the parent function is 1/x^3. Now, doing the given transformation,…

Q: 5. If Amber decides to mail copies of her photo to the 45 residents of her grandmother's assisted…

A: Given: The new function representation of her photo share is fx=34x+45 To determine: How does the…

Q: 5. Graph the following function: f(x) = Vx - 2 6. Graph the following function:f(x) = 3|x-1||

A:

Q: how did changing the equation from (picture 1) to (picture 2) affect the key features. please use at…

A:

Q: g(x) 2

A: