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(a) Find the zeros. (b) Sketch the graph. (c) How many local extrema? 3) f(x) =...
7) Find the local extrema for f(x, y) = x3 - 12xy + 8y3.
9. Given f(x) = x4 + 4x3 + 2x2-8-8, a) How many zeros does f(x) have (including multiplicities)? b) List the possible rational zeros of f(x). c) Find all rational zeros of f(x). d) Find all the zeros of f(x).
a) List any extrema b) Indicate any asymptotes or points of inflection c) Sketch a graph of the function. 1. f(x) (x1)3 2. f(x) xv25 4x2 3 3. f(x) x-6 x-2 4. f(x) X+3 a) List any extrema b) Indicate any asymptotes or points of inflection c) Sketch a graph of the function. 1. f(x) (x1)3 2. f(x) xv25 4x2 3 3. f(x) x-6 x-2 4. f(x) X+3
please solve b and c 3. Use the following steps to sketch the graph of each of the following functions. Step 1: Find the domain. Step 2: Find the y-intercept and all x-intercepts. Step 3: Decide if the function has any symmetry: odd, even, periodic. Step 4: Find any horizontal or vertical asymptotes. Justify using limits. Step 5: Find the critical numbers and determine intervals of increase/decrease. Step 6: Identify all local extrema. State as ordered pairs. Step 7: Determine...
The graph of f', the derivative of a function f, is given below. df/dx X1 X2 X3 X4 X5 X6 (You can click on the graph to enlarge the image.) Note: This is a graph of f', not a graph of f. At which of the marked points x1, x2, x3, x4, X5, X6 of the variable x we have that: M A. f(x) greatest? x = B. f(x) least? x = c. f'(x) greatest? x = D. f'(x) least?...
Use the first derivative test to find local extrema Question h(x) = x3 + 32x2 + 120x + 9 Given the function above, use the First Derivative Test to find the local extrema. Select the correct answer below: There is a local minimum at x = -5 and a local maximum at x = -3. O There is a local minimum at x = -3. O There are no local extrema. O There is a local maximum at x =...
9. Find the local/absolute extrema off on the closed interval; clearly label your solutions f(x)= x3 – 3x +1 (0,3]
3) A Relative minimum at (-7,0) C) No relative extrema exist B) Relative minimum at (7,0) D) Relative maximum at (-7,0) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Draw a graph to match the description. Answers will vary. 4) f(x) has a positive derivative over (-5) and a negative derivative over (-5, -4) and (4, 4 ), and a derivative equal to 0 at x -4 MULTIPLE CHOICE. Choose the one...
Find the extrema (x and y values, type) and zeros of .01(x + 1.5)^3 (x − 2)^2 (x + 3)^4
Graph the polynomial using calculus methods. F(x)= 7/3 x3 + 13/2 x2 -12x +3 List local extrema, intervals of concavity, and inflection point(s) if they exist. Local maximum: Local Minimum: Concave up: Concave down: Inflection point(s):