O The graph of f(x) = is (increasing/decreasing) over its domain.

Q: Find k so that f has a relative extremum at the point where x = 3. k 2.

A:

Q: 2. The graph of a function f is given. Estimate Lf(x)dx using five subintervals with (a) right -1…

A: The graph of a function f is given.  it is not possible to estimate ∫08fxdx using five subintervals…

Q: 7. For the function f (x)=(x-2)° +1, a. Sketch the graph of over the interval [0,3].

A:

Q: Determine the smallest value of the constant a for which the graph of the function f(x) = a^x−x is…

A: Since f(x) should always be greater than x axis ⇒f(x)>0ax-x>0ax>xTake log both…

Q: Find the maximum and minimum values of the function f (x) -3x on the interval 1+x2 0<x<6.

A:

Q: 12. For the function f(x) = x² + 10x + 7, x ER, find any global maxima or minima points

A: If y=f(x), then the independent variable x is called the input of the function and the dependent…

Q: 14). a) Consider the function f(x) = x – 2e-* +1 for x 2 0. i) Show that the function is increasing…

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the…

Q: 1. Consider the function f(x) = -x² + 6x and the point P(2,8) on the graph of f.

A: Given data: The expression for the given function is f(x)= -x2+6x. The given point is A(2,8). (a)…

Q: 2 47) Use the graph of f(x) shown to the right to solve: a) f(x)-0 b) f(x)<0 y-f(x)

A: a) Consider the given function to be y = f(x). Solve the equation f(x) = 0 using the given graph as…

Q: Based on the graphs of f(x) and g(x), in which interval(s) are both functions increasing?…

A: Domain of g(x) can be broken into following intervals: (-inf,-3), (-3,-1) and (-1,inf) In each…

Q: Q2: Find the value of the constant K if the function 4-x is continuous at x-2 f(x) ={3-Vx² +5 ;x= 2…

A: we have to find the value of k Given,  f(x)=4-x3-x2+5          x≠2K                              x=2…

Q: 2. Given the function -a Show that

A: Note :-  Since you have asked multiple question As per our policy, we will solve the first question…

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: 18) Match the graph with the correct function. (a) f(x) = -3 + In x (b) f(x) = 3 + In x (c) f(t) =…

A:

Q: Find the absolute maximum and minimum of the function f (x) = x³ - x+2 on the interval [0, 3] %D

A:

Q: Draw graph for any THREE from the following: a) f(x) = [x + c) f(x) = [x/31 e) f(x) = [x – 21+ Lx+2]…

A: Solution: (a) fx=x+12 Graph is:

Q: 3. Given the graph of f(x) and g(x) as shown. Sketch (f – g)(x) on the same grid. f(x). 3 1. -5 -4…

A: Step:-1 first Method:- Given graph is  Here, we can see f(x) is a straight line and cuts x-axis at…

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: If f(x) is a differentiable function such that f'(-2)=-1 and g(x)=f(3x+1), then what is g'(-1)?

A:

Q: 5. The coordinates of the hole for the function f (x) x²-4 are: x-2

A: Given function, f(x)=x2-4x-2

Q: 4. Determine the value of the constant k so that f(x) = e* (x + k) decreases on the intervals (- 0,…

A: we have to find value of k

Q: 2 For the function f(x) = -x', find f'"(x), f'"(0), f'"(1), and f"(- 1).

A: To find the double derivative for the given function.

Q: Over the interval (0,2), the function f(x) = (-x²) e*

A:

Q: Find all values of x for which the garph of f lies above the graph of g.

A: We get the values of x such that graph of f(x) lies above the graph of g(x) as x | f(x)&gt;g(x)

Q: 3) Find the intervals where the function is increasing and where it is decreasing. f(x) = x² - 6x²…

A:

Q: Locate the absolute extrema of the function on the closed interval. 12 g(t) = [-1, 1) t2 + 1'

A:

Q: d) For the function {: 1- a², x2, 0 1 i) Sketch the graph of f(x) ii) For what values of r, the…

A: follow next step

Q: 3. Given f(x)=-x+4x+12, 0sx58: (a) Carefully, graph S(x), 0Sx s8.

A:

Q: The function h(x) ==x-1 represents the composite h(x) = f(g(x)). If f(x) = 2x – 1, what is g(x)?

A: Please refer the attached image for complete solution. Given : hx=43x-1, hx=fgxfx=2x-1To calculate :…

Q: . If x is large, which function grows faster, f1x2  2xorg1x2  x2?

A: To determine for the large values of x, which of the functions f(x)=2x and  g(x)=x2 grows faster.

Q: 4. Find the functions f(x), g(x),h(x) that satisfy: f(g(h(x))) = 2.

A: A composite function is created when one function is substituted into another function .

Q: 1. Determine if the function is even or odd g(x) = x³ +x, f(t) = 1 + cost

A: Given function are gx=x3+x and ft=1+cost. To determine whether function is even or odd. Solution: A…

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) [0, 12] r 2 X…

A:

Q: O Find the largest value of A such that the function f(x) = x + 1x? - 4x + 6 is decreasing for all x…

A:

Q: 7. Find the intervals of increasing/decreasing for the function f(x) = x'e*

A:

Q: 1. Consider the function f(x)= x5- 5x4+5x3 a. When is ? increasing? When is it decreasing? b. When…

A: Let us first evaluate the derivatives of the given function as shown below:…

Q: Draw the graph of the function f (x) = ⌊2x⌋ from R to R.

A: We have to draw the graph of the function f (x) = ⌊2x⌋ from R to R.

Q: Compare the function rule f (x) = 3x + 2 and the graph of g (x). 10 -10 10 Which statements are…

A: First let's draw graph of f(x) on same axis and then compare it with g(x) graph.

Q: Draw the graph of f ( x ) =3 x2+5 x−4 for a. From the graph, identify the values of x when f (x)=0.…

A: Follow the steps below to plot the graph of y=f(x) . Take arbitrary integers for the values of x…

Q: Sketch the graph of the function  f(x) = ln∣x∣ and state its domain.

A: Sketch the graph as shown below:

Q: E What is the effect on the graph of the function f(x) = 5x when f(x) is replaced with 9f(x)? A)…

A:

Q: Find the absolute maximum and minimum values of f on the given interval\ f(x)=e^x/(1+x^2)     [0,3]

A:

Q: 25 Given the function f(x) = x°+ x° + x*, find all x-values where f has an inflection point.

A:

Q: 6) Find the value of c such that {0, c} is 2-cycle such that c be a constant and let the function be…

A:

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: 1. Find when the function is increasing and when it is decreasing. x2 – 9 f(x) = x2 – 16

A:

Q: 3. Find the value of the constant k that makes the function continuous f(x) = {x² – 6, x + 4k, x 6

A:

Q: Q4) Find the local and absolute extreme values of the function on the given interval. 1. f(x) - x' -…

A: As per our guidelines we are supposed to answer only one question at a time. So submit the other…

Q: 19. Find the absolute extrema of the function on the indicated interval. f (x) = xe-3x;[-1,2] хе

A: As a first step, we need to find all the critical points by equating the derivative of f(x) to zero.…

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…