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12. If graph of f(x) is given bellow, what is the range of f(x) = ?...
Consider the function f(1) = 22 - 62+5 Answer all parts: (a) - (). (a) The vertex is (b) The axis of symmetry is (c) The 2-intercept(s) is (are) (Enter the list, separated by a comma. (d) The y-intercept is y = (e) Sketch a graph of f(x) = 22 - 61 +5. Instructions: To sketch the graph, click on the following locations: (1) vertex (2) the x--intercepts 10 10 0 -10 After graphing answer the following: (f) What is...
Let f (x) = x2 – 6 and g(x) = V6 – 2. Determine the domain of f (g(x)). O [-6,6] o [6,00) 0 (-00,-6] U [6,00) o(-00,00) 01-00,6] Determine the domain restriction, if one is necessary, so that f (x) = 212 + 1 is one-to-one. O [3,00) o(-0,3) O No restriction is necessary. O (1,00) O (3,00) Determine the vertex of the parabola described by f (x) = 3 – 12x + 2x2. O (2, -13) O (3,...
5 points) 1. Circle the correct answer. Use the graph of y = f(x) to solve f(x) < 0. A) (-2, 0) U (3,00) TVfx) B) (-2,0] [3,00) C) (-00, 2] U [0,3] D) (-00,-2) (0,3) E) none of the above
Problem 4.1.38 Use the graph bellow of f(x) = e* to graph g(x) = e* - 1. 10- 9 -8 7 6 5- 4 (2,6 -7.39) f(x) = ? (-1,2-1=0.37) (-2, 6-2014) 2 (1, e 2.72) (0.1) Horizontal asymptote: y = 0 (a) Graph and write the equation(s) of the asymptote(s) of g. (b) The domain of g is (c) The range of g is
what is the range? f(x)= - 3x if x 50 -2 if x>0 The domain of the piecewise function is (-00,00). a. Graph the function b. Use your graph to determine the function's range, a. Choose the correct graph below. ОА. C B. Ос. AY a AY 10 10 10 10 -10 TO b. The range of f(x) is Click to select your answers)
two questions, need to see work thank you! Find an equation for the line with the given properties. 1 Perpendicular to the line y = = x +7; containing the point (5,-3) O A. y= 5x + - 22 O B. y = - 5x + 22 O C. y= - 5x - 22 1 22 OD. y= y=- X- 6 Determine where the function is increasing and where it is decreasing. f(x) = - x? + 6x-8 O A....
3. A function f(x) that you do not know has the following properties. (6 points total) The domain of the function is (-00,00), and the graph off has no discontinuities. • f'(0) = 0 and f'(9) = 0. . f"(x) > 0 on the interval (-0,3), and F"(x) < 0 on the interval (3,00). f"(3) = 0. a) At what value of x does f(x) have a local minimum? How do you know that there is a minimum here? (3...
Graph off 2. The figure above shows the graph of f', given by f'(x) = ln(x2+1) sin(x*) on the closed interval (0,3). The function f is twice differentiable with f(0) = 3. (a) Use the graph of f' to determine whether the graph of f concaves up or concaves down on the interval 0<x<1. Justify your answer. (6) On the closed interval (0,3), find the value of x at which f attains its absolute maximum Justify your answer. (c) Find...
The DERIVATIVE f'(x) of a function f(x) is given by f'(x) = x²(x - 3). Find the intervals on which the function f(x) is DECREASING OA (-2,0) and (3,00) OB. (-0,0) and (0,3) Oc (0,3) OD. (-0,0) OE (3,0)
FIND THE DOMAIN OF THE FUNCTION VX+1 +5 f(x) VVx2-x-6 A) (-00,-2) U (3,0) B) (-2,3] C)(-0, -1) U (3,0) D)(3.c) E)(-0, -1]U (5.00) F)(-60,-2]U[3,00) G)(-2,3)U(-1,00) H)(-00,-1] Select one: a. D b. C C. A d. B e. E f. F g. G h. H