What are the x-coordinate(s) of the x-intercept(s) of the function? g(x)4x3 2x2 -12x
Find the interval(s) on which f (x) = 2x2 – 3x2 – 12x + 1 is concave up.
Write the quadratic function in the the form y=a(x-h)2+k and sketch its graph. y=2x2-12x+14 y=?
| 2x2 + 12x – 18 J (x + 3)(x2 +9) The integrand has the following partial fraction decomposition: 2x2 + 12x – 18 _ (x + 3)(x2 +9) A X+3 Bx + C x2 +9 (a) Determine the value of the following constants: A = (b) Evaluate the indefinite integral. 48 dx. | 8r3 + 6x2 + 80x + 48, x4 + 16x2 The integrand has the following partial fraction decomposition: x2 2 + + Cx+D x ' x2...
For g(x) = 3x2-12x + 6, answer the following questions. a. Find the values of the x-intercepts b. State the coordinates of the y-intercept. c. State the vertex d. State the axis of symmetry e. State the direction of the parabola. f. Decide whether there is a relative maximum or minimum, then state it. g. Graph the function accurately using the above information. h. State the domain. i. State the range. j. State the interval of x where the graph is increasing k. State the interval of x where the graph...
State the domain, range, x-intercept(s), y-intercept(s) and asymptote(s) of the given function. https://i.gyazo.com/ad9395dfa1f76d9e60f1346b476bc1ad.png
Consider the following polynomial function f(x) = x4 + 5x – 2x2 - 30x - 24 Step 3 of 4: Find the x-intercept(s) at which fcrosses the axis. Express the intercept(s) as ordered pair(s). Key Answer Point Select the number of x-intercept(s) at which crosses the axis. Prev Selecting an option will display any text boxes needed to complete your answer. o none ol 02 03 QueSLIUI S UI 2J Je 4 U14 Consider the following polynomial function. f(x) =...
Question 2: 60 Marks The function fx)-x-2x3-5x2+12x -5 as four distinct roots, we want to determine the roots by means of Müller's method (2.1) Which option is false? (10) (1) f(x) x-2x3-5x 12x-5 has no singularities and no obvious symmetries and f(0)--5 (2) f(x) 4x3 6x2-10x 12, f(x) 12x2 - 12x (3) f"(x) has a local ertremum at X = 0.5 (4) the two zeros for f"(x) are -0.5408 and 1.5408 (5) f"(x) has a local marinum at X =...
19. f(x)=4x3- 15x2 18x+ 20 3 (a) Find f'(x) Simplify and factor completely. )12x- 3ox-18 Find f(x) (b) Simplify and factor completely. ( 1.F Intevas are 242-30 (c) Find the intervals where the function is increasing and where it is decreasing. Use interval notation. : 24y-30 O 12 -30x-18O ,3 (-0,). 3). 39 -15 12 3 C 3, 00) 24 -) f is INC on: f is DEC on: Chrek Find the relative extrema of this function if they exist....
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).
The sales function is S(x)= 20 + 150x2 - 4x3 x represents thousands of dollars spent on advertising, 0< x<40, and S is in thousands of dollars. Find the point of diminishing returns (inflection point.) Determine the amount spent on advertising, and sales in dollars. (give both coordinates.) Point of diminishing returns: Amount spend on advertising: Sales in dollars: