Suppose the function f has a domain set of all real numbers. Given below is the graph of f(x). f'(x) + + -6 15 -4 -3 -2 -1 4 Which of the following intervals or union of intervals is the function f decreasing? A (- 00 , - 5) U(-1,3) В (- 0, - 3) U (1, + ∞ )

Q: Consider the function f(x) = 2x3 - 6x2 - 18x + 9 on the interval [-2,4]. What is the absolute…

A: Given function - f(x) = 2x3-6x2-18x+9Differentiating f(x) with respect to x - f'(x) =…

Q: 4.Determine the intervals of the domain during which the function is increasing, decreasing and…

A: Given

Q: For the function f(x) = 21 – 6I + 7, find all intervals where the function is increasing: f is…

A: As it can be seen in the question that we need to find only the interval where the function is…

Q: f(t) = 3 – 9 ? -6, [-3, 3]

A: To find: The continuity of the function f(t)=3-9-t2 on the interval [-3, 3]

Q: The critical points of the function f(x) = 25x2 – 2x occur at x = 0, x = ±10.00 x = 0, x = ±1.25 x =…

A:

Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

A:

Q: Determine the intervals on which the function is increasing and the intervals on which the function…

A: According to question given thatf(x)=1-x2x

Q: Discuss the continuity of the function on the closed interval.                              g(x) =…

A: We can not have a negative value under the square root.  So,

Q: Suppose f(x) = =°+ 3z + 1. In this problem, we will show that f has exactly one root (or zero) in…

A: (A)

Q: 3. Consider a function f(2) that is analytic in a domain that includes the real axis. When z is…

A: Given that,                 fz is an analytic function in a domain that includes the real axis .  We…

Q: If the function f is increasing on the intervals (-5,1) and (9,21) and decreasing on the interval…

A:

Q: (a) find the critical numbers of f, if any, (b) find the open intervals on which the function is…

A: Derivative of a function determines the change of a variable with respect to another variable. First…

Q: 19. Show that f(x) = x² + 1 is not one-to-one, using values of f (not the horizontal line test).

A: To show: The function fx=x2+1 is not one to one. Concept used: The function is one to one is and…

Q: Determine all critical points for the function. f(x)=x^3-9x^2+8 show all work

A: Given function,  f(x) = x3 - 9x2 + 8 To find the critical points of the above function.

Q: The function In x f (x) = x2 is Select one: increasing on the interval (-o, -) and decreasing on (5,…

A: fx=lnxx2 The domain of given function is 0, ∞. Differentiating with respect to x, we get…

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing.

A: Given: f(x)=x29-x2 To Find: Intervals of increasing and decreasing on (-3,3). Concept: (a). if…

Q: Suppose h is a twice-differentiable function such that it has second derivative given by the formula…

A:

Q: Find the constant a such that the function is continuous on the entire real line. 7sin x if x <0…

A: For a function to be continuous at x = a, it must satisfy the following condition:

Q: If f(x) is an even function defined on the interval [-5,5], Then find - X+1 the real values of x…

A:

Q: Find the area of the region bounded by f(x)=-x^2+6x-5, the x axis, and the lines x=2 and x=5. Graph…

A:

Q: A true statement for the function f(x)=2x²-3x²+10 is.. f decreasing on the intervals (-,0) and (1,-)…

A: f(x)=2x3-3x2+10

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) = 12 +…

A: Given: fx=12+x-x2 we know that for any function it is increasing then f'x has to be greater than…

Q: 15. Given , find f- (x) = Vx+ 7 and the domain of f-1 (x). Of-" (x) = x³ +7 with domain for f-l (x)…

A: In the question we have to find inverse of the given function and domain of the function.

Q: With a function of x^4 - 50x^2 + 9, and  increasing intervals at [-5, 0] and [5, infinity), and…

A: To find the inflection points of the given functions.

Q: In the function:  f(x)= 6/((x^2)-16)  What are the critical numbers of the function?  When is the…

A:

Q: determine the points of discountinuty of the function f(x)=(-x)2 andnature of discountunuity at each…

A: To determine the points of discontinuity.

Q: 17. Find the end behavior for f(x) = -3x - 2x -7 A. x- +o, f(x) +0 x -o, /(x) - - B. x-+o, /(x) -00…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: find all critical numbers of the function f(x)= 4x^4-42x^3-360x^2+35

A: Given, f(x)=4x^4-42x^3-360x^2+35

Q: x3 – 7x2 + 5x + 7 = 0, (-1, 1) Let f(x) = x3 - 7x2 + 5x + 7. f(x) is ---Select--- f(-1) = on the…

A:

Q: The piecwise function g(x) is defined by x + 2 when x 1. What type of discontinuites are present in…

A:

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) =…

A: we have to find the intervals on which f(x) is increasing and the intervals on which f(x) is…

Q: The function f(x) = 3 x4-4 x3-12 x2 +1, is decreasing on the interval OA (-00,-2)U(0,2) OB…

A:

Q: Check the continuity of the function f(x) at x = -2 f(x) = - 6r + 3x l-6x if xs-2 if x>-2

A: Given,         The function fx at x=-2.           fx=x2+3xif x≤-2x3-6xif x&gt;-2

Q: A portion of the graph of a function f (x) with domain (-∞, 0) is shown. to- The functionf has…

A:

Q: 3- x, 3. f(x) = [-1,4] 3+x, x > 0 1 4. g(x) [-1, 2] .2 - 4

A:

Q: If f(x)<0 for all real numbers x, then f is decreasing on(-♾,♾) True or false

A:

Q: For what intervals is f(x) = x* – 8z² +3 decreasing? O The graph is decreasing on the interval (0,…

A: givenf(x)=x4-8x2+3f'(x)=4x3-16xf'(x)=4x(x2-4)so critical points will be -2,0 and 2

Q: For the function f(1) = 2x-6x +7, find all intervals where the function is increasing: f is…

A: Let f be the given function and c be the critical point of f. f is increasing on an interval I if…

Q: Make a sign diagram for the derivative of the rational function. f(x) = ---Select--- v -Select---…

A:

Q: Discuss the continuity of the function f(x) = {x^2 - 3x         if x &lt; 2           {2x + 4…

A:

Q: Determine where the graph of the function f(x)= 2x-V49-x is concave upward and where it is concave…

A:

Q: Discuss the continuity of the function on the closed interval.                        Function g(x)…

A: Givengx=1x2−4  Interval [-1,2]

Q: Determine all critical points for the function. f(x) = x3 - 9x2 + 1 X = 0 x = 0 and x =6 X = 0 and x…

A: The critical points of a function f(x) are points such that f'(x)=0.

Q: Suppose f(x) is differentiable everywhere and f(-3) Show f(1) > -6 and f(-5) -2.

A:

Q: Suppose f(x) = x* + 3x + 1. In this problem, we will show that f has exactly one root (or zero) in…

A: Given that

Q: 1 Discuss the continuity of the function f(x) on the interval (0,2] and [-1,3] x2 -4

A: A function f(x) is said to be continuous in the closed interval [a,b] if→ f is continuous on (a,b).→…

Q: For the function f(x) = –2¤³ + 6x + 2, find all intervals where the function is increasing: f is…

A:

Q: Determine the continuity of the function at the given points. forx =-1 %3D f(x = - 2, for x -1 at x…

A: If function f is continuous at x=a then limx→af(x)= f(a)

Q: Show that the function f(x) = |x-3| is not differentiable at x = 3.

A: