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MATH 154 Lecture 2: Math 154 lecture 2

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azuremosquito828

9 Apr 2018

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Simon Fraser University

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$MATH 154 Full Course Notes$

MATH 154 Full Course Notes

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Find the domain and zeros of the rational function f(x) = x^3-9x/2x^2 +3x -2. Domain : 2x^2 +3x -2 cannot equal 0. All real #s such that x cannot equal and x cannot equal -2. A living cell consumes nutrients at a rate proportional to its volume. Surface area of a sphere of radius r is s= 4pir^2. Volume of a sphere of radius r is v= 4/3pir^3. Rate of nutrients absorption is a=k1s(4pik1)r^2 (is also a(r)) c= k2v= (4/3pik2)r^3 (is also c(r)) Right answer is graph b. b/c consumption rate power is higher than zero which means. Solve for r k2 r^3 -3k1r^2 = 0 r^2(k2r-3k1)=0 => r= 0 or r=3k1/k2 r>3k1/k2.

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Please answer numbers 2c, 3a, and 3b. Please and thank you.

Algebra

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Show transcribed image text Which rational function has the given graph? R(x) = 2x2/x2-4 R(x) = 2x2/x2+4 R(x) = -2x2/x2+4 R(x) = 2x2/x2+4 (R(x) = -2x2/x2-4 Use a transformation of the graph of y = x5 to graph the function. h(x) = -4x5 Choose the correct graph below. Determine whether the function is a polynomial function. If it is, state the degree. If it is not tell why not. g(x)= 1-x3/5 Choose the correct answer below. Polynomial of degree 3 Not a polynomial because of the negative coefficient of x3 Polynomial of degree 1 Not a polynomial because of the negative power of x Find the vertical, horizontal and oblique asymptotes, if any, of the given rational function. R(x) = x3 - 27/x2-x-6 Find the vertical asymptote(s), it any, of the function. Select the correct choice below and fill in any answer boxes within your choice. The vertical asymptote(s) is/are x = . (Simplify your answer. Use a comma to separate answers as needed.) There is no vertical asymptote. Find the horizontal asymptote(s), if any, of the function. Select the correct choice below and fill in any answer boxes within your choice. The horizontal asymptote(s) is/are y = . (Simplify your answer. Use a comma to separate answers as needed.) There is no horizontal asymptote. Find the oblique asymptote(s), if any, of the function. Select the correct choice below and fill in any answer boxes within your choice. The oblique asymptote(s) is/are y = . (Simplify your answer. Use a comma to separate answers as needed.) . There is no oblique asymptote. Use a transformation of the graph of y= x4 to graph the function. f(x) = (x+7)4 Find the vertical, horizontal and oblique asymptotes, if any, for the following rational function. R(x) = 8x/x+16 Select the correct choice below and till m any answer boxes within your choice. The vertical asymptote(s) is/are x = . (Use a comma to separate answers as needed.) There is no vertical asymptote. Select the correct choice below and fill in any answer boxes within your choice. The horizontal asymptote(s) is/are y = . (Use a comma to separate answers as needed.) There is no horizontal asymptote. Select the correct choice below and fill in any answer boxes within your choice. The oblique asymptote(s) is/are y = . (Use a comma to separate answers as needed.) There is no oblique asymptote. Which rational function could have the given graph? In the functions shown, c is a constant. Choose the correct answer below. R(x) = (x+1)2(x+4)(x+c)/(x-1)(x+3) R(x) = (x+1)(x+4)(x2+c)/(x-1)2(x+3)2 R(x) = (x+1)(x+4)2(x+c)/(x-1)(x+3) R(x) = (x+1)(x+4)(x2+c)/(x-1)2(x+3)2 Analyze the graph of the function. R(x) = x(x-9)2/(x+12)3 What is the domain of R(x)? {x|x 0, x 9, and x - 12} {x|x -12} {x|x 0 and x - 12} All real numbers What is the equation of the vertical asymptote(s) of R(x)? Select the correct choice below and fill in any answer boxes within your choice. x= (Use a comma to separate answers as needed. Type an integer or a fraction.) There is no vertical asymptote. What is the equation of the horizontal or oblique asymptote of R(x)? Select the correct choice below and fill in any answer boxes within your choice. y = (Simplify your answer.) There is no horizontal or oblique asymptote. Choose the correct graph for R(x) below. Find the vertical horizontal and oblique asymptotes, if any, for the following rational function. T(x) = x3/x4 - 1 Select the correct choice below and fill in any answer boxes within your choice. The vertical asymptote(s) is/are x = . (Use a comma to separate answers as needed.) There is no vertical asymptote. Select the correct choice below and fill in any answer boxes within your choice. The horizontal asymptote(s) is/are y = . (Use a comma to separate answers as needed.) There is no horizontal asymptote. Select the correct choice below and fill in any answer boxes within your choice. The oblique asymptote(s) is/are y= . (Use a comma to separate answers as needed.) There is no oblique asymptote.