Question 12 (4 points) Describe the graph of f(x) = A - 7x2 - 6x under...
Question 11 (4 points) Describe the graph of f(x) = -(x + 3)(x - 4)(x - 3)2 under the following headings (show all calculations to support your answers): a) x- and y-intercept(s) b) end behaviours A/
Q#4.a. Find the Taylor Series for : f(x) = 7x2 - 6x + 1
Describe the transformation of the graph f(x) = 6x that yields the graph of (x) = 6x+1
show work, neat writting please and thanks! 9) Given: f(x) = x - 7x2 + 4x + 12 a) List some possible rational zeros. b) Use the Factor Theorem to determine if (x - 6) is a factor of f(x). (Yes or No? Show your work.) c) If (x - 6) is a factor, use synthetic division to find the other factors. List them here. d) List the zeros of f(x). C) Rational Functions: 10) Given the rational function: a)...
Approximate the area under the graph of F(x)=0.7x3 +7x2-0.7x-7over the interval [-9,-4) height of the rectangles using 5 subintervals. Use the left endpoints to fird te The area is approximately (Type an integer or a decimal)
Find the x-intercepts of f (x) = x2 - 6x + 4 Type your answers as ordered pairs with exact values. The x-intercept to the left of the axis of symmetry: The x-intercept to the right of the axis of symmetry:
Q1 Given, f(x) = {, 4,05x<2 6x + 1, 2 <x< 4 (a) Sketch the graph of f(x) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval -12 < x < 12. (6 marks) (b) Determine the Fourier cosine coefficients of Q1(a). (10 marks) (c) Write out f(x) in terms of Fourier coefficients you have found in Q1(b). (4 marks) [Total: 20 marks]
2. (4 Points) Use the accompanying graph of y = f'(x) (Careful, this is the graph of the derivative of f) to estimate the answer to the following questions, a) For what value(s) of x does y = f(x) have a local maximum? A b) on what interval(s) y = f(x) decreasing? 10.81 by 1-3, 3)
79 Consider the function f(1) = -2(x + 1)3 Answer all parts: (a) - (f). (a) What is the degree of f(x)? The degree of f(s) is (b) Which of the following choices describe the end behavior of f(x)? The graph of f(x) acts Olike 72 (ie both ends up) o like - 22 (ie both ends down) O like x3 (ie, lett end down, right end up) Olike - (ie, left end up right end down) None of the...
Show ALL work to receive rating. Thanks! 1. Let f(x) = -4x^3+6x^2 a) Where is f(x) increasing/decreasing? Make a sign chart. b) Classify the critical points as local max, local min, or neither. c) Where is f(x) concave up/concave down? Does it have any points of inflection? d) Use the information above to sketch the curve. Note that f(1/2) = 1. Be sure your graph includes the x and y intercepts if they exist.