Return to course Given a function of the form x" has at least one local extrema, what must be true? n is odd The graph of f () = x°, where n=3, does not have a local extrema. n is even

Q: f(x)

A: Ans.1 f(f(0)) = f(5) f(5) = 1 Hence, f(f(0)) = 1

Q: 1. Answer the following questions: (a) What is an even function? How to recognise the graph of an…

A:

Q: The graph of a function y = f(x) on the interval [ - 3, oo) is shown below. Use the graph to answer…

A:

Q: Consider a half-range function below: 2.x 0<x< 2 S(x) = { a 1; 2 i. Sketch the graph of f(x) for the…

A:

Q: See attached first.  The function h is given by h(x)=cos(kx)f(x) for all real numbers,  where k is…

A:

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Given fx=2secx-π2, 0,4π

Q: a. Find df/ dr if = / 2 In t dt. f(x) b. Find f(0). c. What can you conclude about the graph of f?…

A:

Q: The inflection point of the graph f(x) = (x + 1)tan ¹(x) is B) (0,0) C) (-1,0) A) (15) D) (0,1) E)…

A: inflection point of the function f(x)=x+1tan-1x

Q: (a) Define the following hyperbolic functions directly in terms of the exponential function (i)…

A:

Q: The only fixed point of f(x) =2¯* is Blank 1. (Answer must be in 8 decimal places) Blank 1 Add your…

A:

Q: Let f(x) = 4 sin x. Complete parts (a) through (g) below. (a) What is the y-intercept of the graph…

A:

Q: The figure shows the graph of a function  f. Suppose thatNewton’s method is used to approximate the…

A:

Q: 7. The graph of a function y=f(x) defined on the interval (-∞,6) is shown below. Use the graph to…

A: Given,

Q: Let f(x) = 8 cos x. Complete parts (a) through (g) below. (a) What is the y-intercept of the graph…

A: Since you are asking for multiple subparts, we are answering only the first three subparts as per…

Q: Consider the function below. f(x) = x? 8x + 7 Answer the questions below Part 1: Enter your answers…

A: GIVEN: f(x) = x2 - 8x + 7

Q: 2. i. Graph the function { sin x > 0 f(x) = x = 0 ii. Explain why f(0) = 0 is not a local extreme…

A: Construct a table of values: 1x 0 π6 π4 π3 π2 2π3 3π4 5π6 π x ∞ 6π 4π 3π 2π 32π 43π 65π 1π…

Q: Answer the questions based on the graph of function f is given below. Enter DNE if an answer does…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the function f given that the slope of the tangent linc to the graph of f at any point (x,…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. The…

Q: 32. Match the function with its graph (labeled I–VI). Give reasons for your choices. 1 1 (a) f(x, y)…

A: (a) The function f(x,y)=11+x2+y2 has maximum value only at origin, (0,0), which is f(0,0)=1. The…

Q: Carrying a Ladder around a Corner Two hallways, one ofwidth 3 feet, the other of width 4 feet, meet…

A: When any parameter varies along other  parameter linearly ( with single power ) it is said to be…

Q: Here is a graph of f given by f (0) = graph of f? Explain how you know. tan 0. What are the…

A: topic - intercepts on graph

Q: a. Find the local extrema of each function on the given interval,and say where they occur.b. Graph…

A: Given  The function is fx=x2-2sinx2  ,0≤x≤2π.

Q: Let f(x) = cos x. %3D (€) (a) First find f Then determine what point is on the graph of f. 3 (b)…

A:

Q: Let f(x) = 4 cos x. Complete parts (a) through (g) below. (a) What is the y-intercept of the graph…

A: Answer

Q: ind the points of inflection of the graph of the function. (Order your answers from smallest to…

A: Here, the given function is: f(x)=x(x-4)3 So,…

Q: a. Determine where the function f(x) = 1 e V2n Is increasing and decreasing, and where its graph is…

A:

Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

A:

Q: 1. Using Graph paper, graph the following functions: a) y = 2cos( 2x) for values of x = -Π, -Π/2,…

A: a). Making table for given function y = 2cos( 2x)

Q: et f(x) = 2/x g(x) is the graph of f(x) shifted down 5 units eft 2 units, write a formula for g(x)…

A: Given that  f(x) =2√x  Find the g(x) shifted down 5 units and left 2 units

Q: Let f(x) = 4 sin x. Complete parts (a) through (g) below. (a) What is the y-intercept of the graph…

A: topic- trigonometric functions x =0,π,2π

Q: 18. ( . The graph of the first derivative f' is shown. y-S '(x) (a) Find the interval (s) on which f…

A:

Q: 2. The graph of f(x) is shown below. Use that graph to answer the following questions a) Determine…

A:

Q: Match the function with its graph. You do not need to show your work. (8 pts) 12) 1) y = -csc x 3) y…

A:

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A:

Q: For tho the function F whose graph is given state the value of the given quantity if it exists (if…

A: THE EXPLANATION HAS BEEN GIVEN IN TYHE ATTACHED  FILE .

Q: Use the graph of y = f(x)in the accompanying figure to estimate the value of %3D f'(1). 1.e F1 -1…

A: according to given graph line is passing through point 2,6,1,2 so, value f'1 will be f'1=6-22-1=41=4

Q: The function f(z) = z² + sinh(z-2)-4x+5 has a fixed point e in the interval [2,3]. Find the value of…

A: Follow the procedure given below.

Q: True or False? Algebraically speaking, a function is odd if f(-x)= f(x). T Geometrically, a function…

A: Here we have to find the odd and even functions.

Q: f(x) 250 :9B15 9 2F 6 27 21 6 27 4 2 4 :4: 2 4 - 250

A:

Q: QA: (inspired by a problem from Stewart's textbook) Suppose that there is some function f whose…

A: Note:-As per our guidelines, we can answer the first three sub-part of this problem as exactly three…

Q: ェ-1 %3D the x-values at which f is not

A:

Q: 33-34 For what values of x does the graph of f have a horizon- tal tangent? 34. f(x) = e*cos x

A:

Q: Find the points of inflection of the graph of the function. (Order your answers from smallest to…

A: Given function is fx=x+cosx,      0,2π To find: Inflection points of the graph. Expalanation:…

Q: -X The only fixed point of f(x)=2¯ is Blank 1. (Answer must be in 8 decimal places) Blank 1 Add your…

A:

Q: Approximate the fixed point of the function to two decimal places. [A fixed point of a function f is…

A: Given that : A fixed point of a function f is a real number c such that f (c) = c. So, the fixed…

Q: Suppose the graph of f(x) = x is shifted down 5 units and to the left 3 units. What is the equation…

A: f(x)= √x  This f is shifting 5 units down and 3 units left  So we have to find the new function and…

Q: ind the points of inflection of the graph of the function. (Order your answers from smallest to…

A: Given query is to find inflection point for the function.

Q: 3x+ 10) sin (x 10) a. Graph f to estimate im f Let fx) b. Evaluate fox) for values of x near - 10 to…

A: a. Graph the function f(x)=3(x+10)sin(x+10) as follows:     From the above graph note that…

Q: f(0) = 6 sin(0) – , (0, 0) f '(0) =

A: The given function is: f(θ)=6 sin(θ)-θ

Q: Answer the questions based on the graph of function f is given below. Enter DNE if an answer does…

A: Explanation of the answer is as follows