Factor the polynomial f(x). Then solve the equation f) o. 10) f(x) x3+5x2- 9x-45 State the domain of the rational function. (6 points) 11) g(x) =ー2 x +2 Given that the polynomial function has the given zero, find the other zeros. 12) f(x)=x3-4x2 + 9x-10:2
Determine the domain and range of the function. Part 1 of 2 The domain of the function in interval notation is Part 2 of 2 The range of the function in interval notation is
Determine the domain and range of the function. - -10 -8 64 2 2 8 10x O Domain: (-00, 1) U (1, 0); Range: (-00, 2) U (2, 0) O Domain: (-0, 1] U [1, 0); Range: (-0, 2] U [2,00) Domain: (-0, 0); Range: (-00, 0) O Domain: (-60, 2) U (2, 0); Range: (-00, 1) U (1,-) O Domain: (-0, 2] U [2, 0); Range: (-0, 1] U [1,00)
2 + (a) Determine and sketch the domain of the function f(x, y) = (x2 + y2 – 4) 9 – (x2 + y2). [7] x6 – yo (b) Evaluate lim (x,y)+(1,1) - Y [5] (c) What does it mean to say that a function f(x, y) has a relative minimum at (a,b)? [4] (d) Find all second order partial derivatives of the function f(x,y) = 22y.
10) Let f(x) = logą (x + 3) a) Determine the Domain and the Range. b) Determine the x and y intercepts, if any. c) Determine the asymptores, if any. d) Without using a calculator plot 2 extra points and graph the function.
2 2. For function h(x) - a. Find (-1) b. Find the domain of h(x), write your answer in set-builder notation. 2 c. For function (x) h'(x) and state the domain and range of h'(x). 3. a. What is the relationship between the graph of a function and the graph of its inverse? b. Graph the function (x) = V1 – 3 and its inverse on the same coordinate system. Determine at least 3 points on each graph. Label each...
-2 The equation for this function is f(x)- The domain of this function in interval notation is The range of this function in interval notation is 24 The equation for this function is f(x) The domain of this function in interval notation is The range of this function in interval notation is □ ty 4 2 4 6 8 The equation for this function is f(x) = The domain of this function is The range of this function is 8...
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 =...
(2) Consider the function f given by f:R R f(a)1 2 (a) Determine the domain D and range R of the function f. (b) Show that f is not one to one on D. (c) Let ç D be a subset of the domain of f such that for all x ? S, 0 and the function is one to one. Find such a set S. (d) For the set S given in Part (c), find f (x) (e) Determine...
Determine the domain , range, and horizontal asymptote of the function . f(x) = e ^ (- x) + 4