3. For the function f(x) --2x, do the following: (a) Complete a table of values containing...
11. For parts (a-c) consider the polynomial function(x) = -2x²(x - 4)'(x - 1)*(x + 2). [10 Points) (a) What is the degree of the polynomial function? (b) List the zeros of the function in the table provided below and state the multiplicity of each zero. Describe the behavior of the graph at each of the zeros. Does the graph Touch/Cross at each zero? Zero Multiplicity Touch/Cross of 2 -6 -4 -2 -21 (c) Provide a rough sketch of the...
- 2x Find the values of x at which the function f(x)=e + 2x has a relative maximum or minimum point. O A. minimum at x = 0 OB 0.69 maximum at x = 2 O C. There are no relative maximum/minimum points. OD maximum at x- O E. none of these Click to select your answer
Using the graph of the function f(x) and the table of values, give the table of values the transformation of each function. Use decimals where appropriate. 0 -2 2 -1 2 -2 0 Transformation A: V2f(x-3)1 Transformation B: Vf(2x + 2)-3 Using the graph of the function f(x) and the table of values, give the table of values the transformation of each function. Use decimals where appropriate. 0 -2 2 -1 2 -2 0 Transformation A: V2f(x-3)1 Transformation B: Vf(2x...
The table shows some values of the derivative of an unknown function f. Complete the table by finding the derivative of each transformation of * -2 -1 0 1 2 3 possible. (If an answer is undefined, enter UNDEFINED - 13-3----- OX) x) (a) o(x) = f(x) - 3 -2 -1 0 1 9x) 5 x 233 x 26/3 (b) h(x) - 2x) 2 (c) (x) = f(-3) rex) OX) UNDEFINED U NDEFINED UNDEFINED U NDEFINED U NDEFINED U NDEFINED...
For the given function, complete parts (a) through (f) below. f(x,y) = -(22+272) (a) Find the function's domain. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The domain is all points (x,y) satisfying (Simplify your answer. Type an inequality.) OB. The domain is the entire xy-plane (b) Find the function's range. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O...
For the given function complete the following steps. f(x) = -2(x - 3)²(x + 1)^ 1. Find the leading term of f and identify the leading coefficien and degree of the function. 2. Analyze the end behavior of the graph. 3. Find all zeros and their multiplicities. Identify where the graph crosses or touches x-axis. 4. Find the maximum number of turning points of the graph. 5. Sketch the graph of the function using information obtained in steps 1-4.
show full solution thanks MHF 401 Page 5 1 9. For f(x) = sin(2x + 2) +2: (4 marks) (a) Complete a table of values for the "key" points. (c) Write a mapping formula. (e) Sketch the new graph. (b) Sketch the starting function. (d) Determine the translated "key" points. (a) (d) 1x) = sinx x) 0 JI 2 TT 3 2 2 T (c)(x, y) - 11. Prove: sinxtanxsex-cos X
For the function f(x) = x^6 − 15x^4 c) Will the graph have any standard symmetry? If so, which? f) Determine the end-behavior (in both directions.) g) Find the function's critical value(s), (if any.) Include their y-coordinates. (Exact values are expected, not decimals.) h) Classify the critical points you just found by using the first derivative test. i) Find the function's hyper-critical point(s), (if any.) Include their y-coordinates. (Exact values are expected, not decimals.) j) Determine whether the points you...
Use a table of values and 3. Graph the function f(x) = 2 - 2 plot at least 3 points.
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x Discuss the continuity of the functions given in problem #2 above. Also, determine (using the limit concept) if the discontinuities of these functions are removable or nonremovable 3. Find the value of the constant k (using...