14. Is f(x) 15 a rational function? Explain. 3z+15 %3D

Q: find thie table of values of this rational equation f (x) 2x + 1/x-3

A: Topic = Function  table of values for three values of x

Q: Find the limit of the rational function a. as x0o and b. as x-oo. Write co or- 0o where appropriate…

A: We have to solve the limit

Q: What is the domain of the rational function f(x) = 1/x

A: Given function is  :  f(x) = 1x First we graph the function.

Q: 4. For the interval of decrease of the rational function y = (x-3)/ (2x - 6), Ara says (3, + o0) is…

A: A function is increasing in an interval, if f(x1)<fx2 for x1<x2. A function is decreasing in…

Q: 31 ? %3D What are the domain and range of the rational function y= Domain: Range:

A: Given that the Rational function is  y =3xx2-4

Q: 2. Determine the equation for the graph of the following rational function. (0.5, -0.16)

A: Rational function: Rational function is of the form p(x)q(x), where px and qx are polynomials. The…

Q: 3x – 3 - Analyze the rational function y %3D 6 – x

A: This is a problem of analysis of a function. To get the stationary and inflection points. Also, in…

Q: Q2: Sketch the graph of the rational function f (x) = ' A(x) (x+4)(x-2) (x+3)(x-1)(x-4) for -8 SxS8.…

A: Given y=x2+2x-8(x-4)(x-1)(x+3)

Q: 2. The average cost (in dollars) per mile for riding a miles in a cab is c(x)=2.5+2z As x gets…

A: Given that: c(x)=2.5+2xx

Q: x- 5 3x + 2 x² - 3x - 4 x² –1

A:

Q: The rational parent function is f(x) = -. Define a rational function, %3D h(x), that is stretched by…

A:

Q: A producer of door frame chin-up bars has determined that the revenue from the production and sale…

A: A function is said to be increasing if f'x>0. A function is said to be decreasing if f'x<0.…

Q: At what points of ℝ2 is a rational function of two variables continuous?

A: Given  The  ℝ2 is a rational function of two variables .

Q: Find the limit of the rational function a. as x→∞ and b. as x→ - o. Write o or - o where…

A: (a) The given function is hx=2x48x4+9x3+11x2.

Q: Does knowing that a function g(t) isdi’erentiable at t = 7 tell you anything about the…

A: If a function is differentiable at a certain given point, then the derived function with no change…

Q: is y=s/(1+s)  a rational function? If not, what type of function is it?

A: Given function,  y = s/(1 + s)  To find whether it is a rational function or not.

Q: Find the point (x,y), at which the graph of y = 8x + 9x - 7 has a horizontal tangent. The function y…

A: Given that: y=8x2+9x-7

Q: 3 Q 11 -3 -2 -1 1 2 For the above rational function f( x ) = identify the interval on which f is…

A:

Q: Consider the rational function f(x)=8x+15/2x−13. part a=8x ,part b =2x   Using your results from…

A:

Q: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].(a) Over what interval is…

A: Given: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].

Q: Find the point(s) of inflection and Interval(s) of concavity of the function f (x) = 2, where g(x) =…

A: To find the inflection points, we find the value of x such that f"(x)=0.

Q: The rational function 320t V(t) t +3 models the velocity, V(t), in miles per hour, of a dragster t…

A: Distance

Q: The following question is about the rational function (x + 1)(x – 3). (x + 3)(x – 6) - r(x) The…

A: We have to find the y intercept

Q: 3. For what value of x does the graph of f (x) = e* – 2x have a horizontal tange

A: Solve the following

Q: 4. Using y = as the reference, what is the equation of the rational function represented by the…

A: Topic = Functions 4) C 5) b 6) c

Q: Express the rational function that describes the situation. A large mixing tank currently contains…

A: Given: Total water in tank is 250 gallons Total amount of sugar mixed =10 pounds. Rate with which…

Q: Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DNE.) ex)…

A: see below the answer

Q: 1 For what value of x does the function g(x) =x³ – 2x² concave downward? %3D

A: Consider the function  gx=13x3−2x2

Q: 5. How do the average rates of change for f(x) = – 0.5x and g(x) = - 1.5x² over the interval -5 < x…

A: Given functions are f(x)=-0.5x2 and g(x)=-1.5x2 over the interval [-5,-2] We know that average rate…

Q: Estimate the area under the graph of f(x) = 9 + 2x2 from x = −1 to x = 2 using three rectangles…

A:

Q: 3x+5 For the rational function r(x) %3D x+2 Find a) The domain ( 0.5 Marks)

A:

Q: s the function below a rational function? If so write it in the form f(x) = p(x) as a reduced ratio…

A:

Q: Explain the method and determine the absolute extrema of f(x) = x - e^3x on the interval: x is…

A: To find the absolute extrema

Q: If the rational function y  r1x2 has the horizontalasymptot

A: Given :  If the rational function  y=r(x) has horizontal asymptote y=2.      Horizontal…

Q: x + 5 Consider the rational function f(x) : x – 3 - a. Determine the vertical intercept of f. f(0)…

A: The given rational function is:fx=x+5x-3

Q: The rational function 340t V(t) t + 2 models the velocity, V(t), in miles per hour, of a dragster t…

A:

Q: Calculate L6 for f(x) = x² + 7|x| over [–3,4]. (Use decimal notation. Give your answer to three…

A: Given f(x)=x2+7x over [-3,4]

Q: II. Find the domain and range of the following rational function 2 1. f(x)%3= x+1

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 15x For the rational function f(x) plot the relative extrema, inflection points and sketch the 3.5x2…

A:

Q: Find the average rate of change of f(x)=9x2−8 on the interval [4,b]. Your answer will be an…

A: Given function , f(x)=9x2-8 on the interval 4,bThe average rate of change of fx=9x2-8 is in…

Q: Make up a rational function that has y = 2x + 1 as an oblique asymptote. Explain the methodology…

A: Form a rational function with y=2x+1 as an oblique asymptote.    A rational function is of the form…

Q: 2х— 10 x2 — 2х — 3

A:

Q: The function f(x) = is an example of a rational function (the fraction x² –1 x+2 of two…

A: A function of the form f(x) =h(x) /g(x) , g(x) in not equal to zero is continuous in its domain.…

Q: Find the area of a triangle bounded by the yy axis, the line f(x)=7−(1/3x) and the line…

A: We have given the line f(x)=7−(1/3x)

Q: 1.) Is f(x)=(2x^3) + (300/x^3) + 4 increasing, decreasing or not changing at x=-2?

A: fx=2x3+300x3+4

Q: 6. What is a point of inflexion ? Does f(x) = x' have a point of inflexion at x = 0?

A: Given that,

Q: 08 2. 3. # 3 4. -3 -2 For the above rational function f( x ) = 2.5x² + 3 , identify the interval on…

A: Given: A function is given: fx=162.5x2+3 To find: The interval on which fx is concave down.…

Q: Which rational function could have the given graph? -10 10- Choose the correct answer below. B.…

A:

Q: The marginal revenue​ (in thousands of​ dollars) from the sale of x gadgets is given by the…

A: Given that,the marginal revenue in thousands of dollars from the sale of x gadgets is given by,…

Q: Consider the rational function: R ( x ) = −3x^5 +5x^2+7/ 2x^4−7x+1 it has an oblique asymptote. Find…

A: To determine the equation of oblique asymptote.