1. From the graphs of f and g in the figure, we find (f + g)(2) = (f - 9)(2) = (fg)(2) 2

Q: f'(x) = V= and f(1) = 3- I|

A: Explanation of the answer is as follows

Q: 1. If the graph of f(x) = |x + 1| – 2, x -3 2x+3 c) f(x) = %3D x-1 3. If f(x) = -x² + 4x, x4 C) y=…

A: Details solution is given below:

Q: Question 1 Find the local extrema of the function f defined by f(x) =x3- 3x2- 9x, A f(-1)=5 local…

A:

Q: Find the local and absolute extremum for the functions over their domain: 3. f(x) = x*(x - 2)7

A:

Q: A graphing calculator is recommended. - 1 Let f(x) = x + 1 (a) Find f'(x) and f"(x). 4x (1? + 1)?…

A:

Q: 4. 3. 2- 寸 J! Z+Xー if -2 3 4. Find the formula for the piecewise defined function graphed below. 5-…

A: Explanation of the answer is as follows

Q: 26. Consider the functions y = f(x) and y = g(x) whose graphs in red and blue, respectively, are…

A:

Q: 1 If f(x) = and g(x) =-, 2x +1 1 find f (g(x)) and its domain. - 2

A: Composite function :  A composite function is created when one function is substituted into another…

Q: In both Parts I and II of this activity, your team will be assigned one of the four groups of…

A: The vertical stretch or shrink of the graph of y=f(x) is represented by the transformation function:…

Q: 4. Determine the number of x-intercepts that appear on a graph of each function. a.) f(x) = (x +…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: The graph shown below is f(x) = 3x - 2. If g(x) = f(t) dt, what is g'(-1)? f 5 4 3 O 5 O 3 0 1 O -5…

A:

Q: 2. Given measured data 1 -1 2 Xi 0 -5 -2 Yi -3 -15 39 -9 what should be f(3) if (a) (: is) Yi f(x;)…

A:

Q: 3. a. f(-2)= b. f(1) = c. lim f(x) =

A: Note :- This is multiple sub parts questions and according to our company guideline we can do…

Q: If f'(x) = x(x- 2)(x+1), then the graph of f has points of inflec- tion when x = A. -2 and 1 B. 2…

A: f''(x)= x(x-2)(x+1)2  To find the points of inflection of function f  A. -2 and 1 B. 2 and -1 C. 2…

Q: 2 6pi 6p Find a formula for the graph of the function f(x) given in the figure above. f(z) =

A:

Q: 1. Let X be the graph of f(x) = x²/3 given below that is, X is the subset of R x R satisfying the…

A: Sol

Q: 9. Given the function V1-x x1 find f(-8), f(0), ƒ(10), and draw the graph of f(x).

A:

Q: What is the relative maximum value of the function f(x) = x³ – 6x² + 9x – 12? O f(x) has a relative…

A:

Q: Find the RANGE of the function f (x) = = 2z+5 6-2z Section 4.2 O y + 3 O y #1 O ¤ # 3 ○リチ-1 O #1…

A:

Q: 1„2 The graph shown is f (x) = ±x². 4 3 21 1 54 3-2 -14 1 2 3 4 5 -2 3 4 If g(x) = `f(t) dt, what is…

A: This is a problem of antiderivative function. Based on the general formula we will answer the…

Q: 19 The graph of Function 1 is shown on the coordinate plane, Function 1 -5 -4 3 -2 1 -5-4-3-2-10 i 2…

A:

Q: 7. The graph of f (x) and a table of values for g(x) and a'(x) is given. If h(x) = /f(x)· g(x) %D…

A: (3) Given that fx=-xx-1. To determine whether fx is increasing, decreasing or has a horizontal…

Q: 10. Find function that satisfies the given conditions: f"(x)=6x³-3x+4, f'(1)=-3, f(1) = -6

A: The function satisfies the condition f''x=6x3-3x+4, f'(1)=-3, f(1)=-6 use the integration formulas,…

Q: If f) (E-1) and g(x) = (-1) then the function () (x) is (2z-5) %3D (2x+5) (2x-5) (2x+5) (x-1) (x-1)…

A:

Q: 104 6. -10-8 -6 -4 -2 0 4 6 8 10 -2 10 Match the graph with its function by translating the graph of…

A: topic - translation of a function

Q: The graph shown below is f(x) = 3x² - 2. %3D If g(x) = So" f(t) dt , what is gʻ(2)? 5 41 1 ++++ 54…

A:

Q: 9. E Find the absolute maximum and the absolute minimum values of the function f(x) = x- 27x + 11 on…

A:

Q: Find the length L of the graph of 3 (a) f(x)=x'2 +1 for 0<x< 4 3/2 1 (b) f(x)=In x -x² for 1<x<2 8

A:

Q: Given the graph of the function y = g(x) on the interval [0, 7]. The graph of g has an inflection…

A:

Q: Question #5 Let [x², x 1 f(x) = Draw the graph of f(x) and discuss its differentiability at x = 1.

A:

Q: (0, 2) Given the graph of f (x) (–3,0) |(3, 0) -4 2 (-2, 0) (1, 0) --2 Step 4 of 4: Solve f (x) < 0

A:

Q: Let f(x) (x- 2)3. a. Does f'(2) exist? b. Show that the only local extreme value of f occurs at x 2…

A:

Q: Sketch g(x) = -2f (x + 5) – 3 on the same graph. 10 y=f(x} -10 -8-6 42 6 8 10 -8 -10 4) 2, CO 4.

A: As per our guide line i am supposed to answer only one question , Re-post second question separately…

Q: 11. Use the given graphs of f and g to evaluate (5f(x)+3g(x)) dx |x=4 5- y = f(x)/ -4- y = g(x).- 2-…

A:

Q: The function f (x) x² – 3x – 4 is graphed on the coordinate plane. Which points will be on the graph…

A: Draw a graph

Q: Question: 2 Find the absolute maximum and minimum values of function f(x) = 3x - 2 - 2x over the…

A:

Q: 3, x21 Graph the piecewise linear function f(x) = -1-x, x<1 OB. OD. OA.

A: Note: We know that piecewise function is a function defined by multiple sub-functions, where each…

Q: Part 1 of 3 (a) Graph f(x)=3|x for x S

A: Solution ) f(x) = 3 |x|  x&lt;0 Vertical dilation of scale factor 3 f(x) = -3x and x&lt;0

Q: 4 given that g(2) =1 and g'(2)= - 5, what is F'(2)? If F(x)= g(x)*

A: Just use the quotient rule of derivative and get the required solution. F'(2)=20

Q: Chapter 4, Section 4.1, Question 036 The figure below is graph of a derivative f'. Select all of the…

A: Observe where f'' is zero

Q: 5. A function, f(x), has two zeroes at (-9, 0) and (7, 0). The leading coefficient of f(x) is a= -…

A: Given that a function “f (x)” has two zeros at (-9, 0) and (7, 0) and the leading coefficient of the…

Q: Question 1 Evaluate (fo g) (-1), when f (x) = 3x² + 1, and g (x) = 4x +1 %3D Question 2

A:

Q: If f (x) = x – 4.5x – 12x + 20, find analytically all values of x for which f' (x) = 0. Enter your…

A: Derivative of a function at some points becomes zero means that the slope of the tangent to the…

Q: 1/3 5) Find all points of inflection in the function g(x) = (x – 7) 3 on the interval [0, 10].

A:

Q: -2.01 3x b) g(x): graph on the interval [-2, 2]. 1+x? 1.5 1.0- .5- -1.5 -1.0 1.0 1.5 -.5- -1.0-…

A:

Q: 20. If f"(x) = (x – 2)(x +3)'(x - 5), then the graph of f has inflection points where x = (A) -3 and…

A: We have to find the inflection point. when second derivative is given as, f''(x)=(x-2)(x+3)3(x-5)2

Q: 4. Sketch the graph of the function. a. f(x)=-(x-1)²+2(x-1)+6 x+1 ifxe(-0,1] if xe (1,3) if x e[3,5]…

A:

Q: Approximate the numerical value of f'(1) using the graph provided. 4- 3. 12 54 3 -2 -14 1 2 3 4 5…

A: Analytical meaning of f'(x) is the slope of f(x) at that point.

Q: 3 + a2 – 4 4.x = r+1+ Consider the function f(x) Note that x2 - 4 x2 - 4 a*(x² – 12) (x2 – 4)?…

A: # vertical asymptotes are vertical lines ( parallel to y-axis ) which touches the curve at infinity…

Q: 5) Find all points of inflection in the function g(x) = (x – 7) 13 on the interval [0, 10].

A: The points of inflection are those points at which the second order derivative of the function is…