Read the section 2.2 "Infinite Limits and Limits at Infinity" and respond the following questions. 1....
PART B: Calculating Limits 1) In algebra classes you typically learn that the horizontal asymptote of a rational function (z)N() D(x) is determined by the degree of the numerator and by the degree of the denominator. That is, if the degree of N(a) is less than the degree of D(x) the horizontal asymptote is y 0 N(r) D(x) lim f(x) lim 0 If the degree of N(x) and the degree of D(x) are the same then the horizontal asymptote is...
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2x+7 Suppose g(x) 3) Use this function to answer the following: 3+20r4 Which has the highest degree (power of x)? (circle one) Numerator/Denominator/Same Degree Without simplifying, Gm After simplifying, br Evaluate the following & give a one sentence explanation of your reasoning. lim f(x) lim f(x)= エース Does g(x) have a horizontal asymptote? If so, give its equation. If not, explain why. 1-7ォ 2TaraUse this function to answer the followinge:...
Limits at Ifinity and Limits of Sequences 787 57. Business The cost function for a certain model of a personal digital assistant (PDA) is given by C I 3.50x + 45,750, where C is the cost (in dollars) and x is the number of PDAs produced. (a) Write a model for the average cost per unit produced (b) Find the average costs per unit when 100 and x 1000. (c) Determine the limit of the average cost function as x...
Consider the following exercises: 1. What are the advantages of computing limit algebraically over using tables of values or graphs? 2. Give an example of a polynomial or rational function and describe an algebraic method for finding limits for the polynomial or rational function. ( X ) by computing f (a), what should you do if the result is a fraction with 3.When trying to compute lim r-+a denominator zero? 2) . Explain when each method would be used and...
For the polynomial function f(x) = −5x(x + 2)2(x − 1)3:
For the polynomial function f(x) = -5x(x + 2)(x - 1)": 7. (4 points) The leading term when expanded is -5.2". Use this to describe the end be havior of f(x): as r → , f(x) → as I + -00, f(x) → 8. (4 points) Name the zeros of f(x) and each of their multiplicities. 9. (4 points) Come up with a rational function which has y =...
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Follow the seven step strategy to graph the following rational function. 4 f(x)2+2x-8 To graph the function, first determine the symmetry of the graph of f. Choose the correct answer below O y-axis symmetry origin symmetry neither y-axis symmetry nor origin symmetry box to complete your choice. What is the y-intercept? Select the correct choice below and, if necessary fill in the answer OA. The y-intercept...
r2 Consider the function f(x) x2 - 9 For the following questions, write inf for 0, -inf for -00, U for the union symbol, and NA (ie. not applicable) if no such answer exists. a.) f'(x) = b.) f(x) is increasing on the interval(s) c.) f(x) is decreasing on the interval(s) d.)f(x) has a local maximum at e.)f(x) = f.)f(x) is concave up on the interval(s) 9.)f(x) concave down on the interval(s) h.) f(x) has a horizontal asymptote y =...
l T-Mobile 3:21 PM 45%. Reading: 12.1-12.2 Back Detail Submission Grade Read sections 12.1,12.2, respond to the following tems 1. Skim thru page 816, and think about how r(t) is a vector. Justify that r(t)-sin()i cos(t)j 0 t 2) is a circle and describe how to draw the circle (where to start, with which direction) Write a set of parametric equation of ellipse 2. Skim thru example 3 and 4 of Section 12.1. Given a curve y f(x), how do...
Multiple Choice Multiple Choice Section 2.1 - 2.2 Introduction to Classes Here is the start of a class declaration: class foo { public: void x(foo f); void y(const foo f); void z(foo f) const; ... Which of the three member functions can alter the PRIVATE member variables of the foo object that activates the function? A. Only x can alter the private member variables of the object that activates the function. B. Only y can alter the private member variables...
question 9 from A to F
9. (5 points) Please answer the following questions about the function fr) - 21² f(x) = 2.9 al num- increas- for the Instructions: . If you are asked for a function, enter a function. - If you are asked to find X- or y-values, enter either a number or a list of numbers separated by commas. If there are no solutions, enter None. . If you are asked to find an interval or union...