For problems 8-12, use the graph of y=f(x) and the table for g(x) and g'(x) to...
Choose the correct graph of g below. graph of yf(x) to graph the function (x) = f(x+2) 6. y = f(x) AY 8- OA OB @ 3- os 4- 2- A -B -6 -4 2 4 Ос. 6 8 OD -2 -4- Click to select your answer
Above is a graph of y = f(t) Find; 1) g'(4) = 2) g''(4) = 6 5 4 3 2 1 2 -1 0 2 3 4 01 6 1 -21 Let gla) = * s(v) dt and use the graph to answer the following. Show your 0 reasoning
8. Consider the function f whose graph consists of four line segments and a semicircle as shown below. Define g(x) by g(x) = 5 f(t)dt. Note: The graph is of the function f. The graph of g is NOT shown to you. a) Find all values of x with –5 < x < 5 for which g'(x) = 0. Explain your reasoning. b) Find g(-1) and g"(-1). Show the work that leads to your answers. c) Find all values of...
Use the graph of the function to solve the equation or inequality. у y = g(x) 5 (3, 4) X -5 5 y = f(x) (-1,-4) (a) f(x) = g(x) (Enter your answers as a comma-separated list.) X = (6) f(x) = g(x) (Enter your answer using interval notation.) (c) f(x) > g(x) (Enter your answer using interval notation.)
0 intersect only at (0,0) g(r)at z arctan(3z) Show that the graph y f(x) and its tangent line y po Consider the ftunction f(x) Intermediate steps: 1) The lIne tangent to y f(x)atz -0isy g(x) where g(r) 9(a)- 2Let H(x) f(x) - 9(x) The derivative ot H (x)s H'(z) = which is zero only when x = Rolle's theorem to H (x) on the interval [ri, 0]. Get a contradiction. 4) Now assume that we have zp O where f(2)-9(T2)...
please explain in detail 4 -11 23 4 Graph of f Let f be a continuous function defined on the closed interval -1Sxs4. The graph of f, consisting of three line segments, is shown above. Let g be the function defined by g(x) = 5 +1.f(t) dt for-1 $154. (A) Find g(4). (B) On what intervals is gincreasing? Justify your answer. (C) On the closed interval 1 s xs 4, find the absolute minimum value of g and find the...
Piecewise Functions Graph: f(x) = x +5 if x 21 if x< 1 Calculate: 11) f(1) = 12) f(-3) = 13) f(2)= Functions: 1) Find g(2)= 1963 2) Find x-intercepts 3) Find y intercept 4) Find Domain of g 5) Find Range of g 6) For what value of x is g(x) = 0? 7) For what value of x is g(x) = 2? 8) Interval where g is decreasing - 9) Relative Maximum Point
The graph of function g is shown below. Let f(x) g(t) dt. y 8 7 6+ 5 9 4 34 2+ 1 -4 -3 -2 -1 2 3 4
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...
1. For a function f(x) (not shown), we have the graphs of f' (x), f ''(x) and f '''(x). Use these graphs to answer the following questions. The difference between a level 1 and 2 pass will be in the number of correct answers and your attention to detail. 1a. Identify all intervals, approximately, where the original function, f(x) is increasing 1b. Identify all intervals, approximately, where the original function f(x) is decreasing. 1c. Identify all intervals, approximately, where the...