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2+1 4. For each of the functions f given below: A. f() B. f(x) = 422-1...
answer all please! 1) Property of inverse functions If f(x): (-1,4 ] → [3,7) → this means f(x) is a function with domain (-1,4 ) and range (3,7] And f(x) is known to have an inverse function; f(x) Find the domain and range of f(x) f-1(x): HINT: x by y's 2. Inverse functions of well known functions – find the inverse function-use proper notation - an inverse function is not a single sided express if f(x) =x, the inverse function...
11. Given the function f(x) = 2sin(x). (11 pts total) NG -21 -5 -4 1 -6 -3 -2 -1 Mće. @p1 (4 pts) a. Graph fon the axes above. How should the domain be restricted so that f is one-to-one? Write your answer using set-builder notation. (4 pts) b. Algebraically find the inverse function, f-1(x). Sketch the graph of f-1 on the axes above. Remember that the graphs off and f-1 are symmetric about the 45° line! (3 pts) C....
1. Consider the curve given by the function f(x) = -4.83 27(x + 1)2 You are given that -4x²(x +3) - 8.1 f'(x) = and f"(x) = 27(x + 1)3 9(x + 1)4 Compile the following information about f(x) and its graph. Show your work to justify your answers to parts (f), (g), (h), (i) and (j). Otherwise, give answers only. Answer "NONE” if the function does not display a feature listed. 1] (a) Domain of f (b) x and...
2. The function f(SID) takes as an input the student ID number of a student in this room, and returns his or her full name. Is f(SID) invertible? (That is, does it have an inverse function?) If so, what would this inverse function do? If not, why not? 3. The function (SID) takes a UC Merced student's ID number, and returns his or her height, to the nearest inch. Is h(SID) invertible? If so, what would this inverse function do?...
Please answer the following questions with solution, thanks 4. Consider the function f(x) = 2x + 1, a) Find the ordered pair (4. f(4) on the function. b) Find the ordered pair on the inverse relation that corresponds to the ordered pair from part a). c) Find the domain and range of f. d) Find the domain and the range of the inverse relation off. e) Is the inverse relation a function? Explain. 5. Repeat question 4 for the function...
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) - $(3) X-3 f(x)- $(3) (c) Find lim X-3 (d) Find and simplify $(3+h)-f(3) h 13 (e) Find lim f(3+h) – S (3) h 0 h (t) Find the slope-intercept form of the tangent line to y = f(x) at x = 3. (g) Plot the curve and the tangent line on the same graph, using the form on the window (-3,7]*[-10,10). 5. A car...
#1 The graph of f(x) = x2 is given. Graph the following functions on the same coordinates. 4 4 بیا بیا 2 2 C1 C1 0 0 -3 -2. -1 0 1 2 4 -3 -2 -1 0 1 2 3 4 -1 -1 -2 -2 -3 a) Graph g(x) = f(x – 2) b) Graph h(x) = f(x + 1) – 2 c) Graph k(x) = -f(x − 2) a) Graph g(x) = f(x) + 1 b) Graph h(x)...
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...
4. Below is a piecewise function, determine -5 lim,f(x)= c, lim f(x)= e. lim f(x)- d. y = sin x (not drawn to scale) explain Consider the piece of f(x) in the first quadrant resembling e. Determine lim sinand the behavior of the graph near zero. 5. Using your graphing calculator sketch h(x)-x4-2x3 over [-2,2] below, find the critical values and on the graph label the coordinates of any local, global(absolute) minima, maxima or point of inflection on the sketch,...
(B)and(C) In each part below a function p and a function f are given. Treat p as a parent function and identify the horizontal graph transformation(s) which take the graph of y = p(x) to the graph of y = f(x). (A.) p(x) = (x and f(x) = (x+1 (B.) p(x) = (x and f(x) = 2x (c.) p(x) = x2 and f(x) = (x + 3)2 (n.) p(x) = x2 and f(x) = 4x2 – 16x + 16 (E.)...