g(e) drde. f(e) by f(e)

Q: 2. * Given a function whose graph is shown below. The function is continuous on(-0o,-5). O Always…

A: In the graph we can see that graph is continuous at interval (-♾️,-5) because in between (-♾️,-5)…

Q: For what values of c is the function given below is increasing on  (- ∞   , ∞) ?

A: We find f'(x) using chain rule

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

A: Consider the given functions. fx=4xgx=1x Put the function as f(x)>g(x).…

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

A:

Q: Which of the following statements is true about the function f (x) = x> ? the function has a local…

A: Given :           fx=x5

Q: dx -= In(F (x))+C. What is F (/3) if C=0? For (x+x³) (xtan-'(x) + 1)

A:

Q: If f(z), g(z) are differentiable functions and g'(r) > f(x) for all z , then one of the following is…

A: We have to solve by given data

Q: 4. If 0< f'(x)< for all x e R, show that f(-1) < f (1)<10+ f(-1).

A: Here we have to use property of increasing function . and Mean value theorem (MVT) Suppose f(x) is a…

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

A:

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: if a -1 a). Sketch the graph of f. b). At x =-1, is f continuous from the right? c). At x = -1, is…

A:

Q: uppose that C is a constant. Let f(x) = (Cx + 1)/(x^2 + x + 1), x ∈ R. Find all values of C for…

A:

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: For all values of x for which the function is differentiable if H(x) is defined as: H(x) =…

A: Solution is given below:

Q: The graph of the function f(x) shown bellow is •.... Sx +1 if x < 1 i'; f(x) = [ x + 1 if x< 1 if…

A: f(x)=x+1if x&lt;14if x≥1

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: Runctioy is continuous. eミm show that the xて-2 子(ス1 X メ→2 22 X-2 ス ラ4

A:

Q: 1. Show that if a<0 the range of f() = ar +q is (f(x): f(x) se.

A:

Q: For all values of x for which the function is differentiable if H(x) is defined as: H(x) =…

A: Given that for all values of x for which the function is differentiable and if H(x) is defined as:…

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: E A) Find the value of (H) if, / A: |H 1 -1 (x3-1) 1 = lim,- 0. (x-1) 4 2 1

A:

Q: Using f(x) = In(3 – 2x), what is its f(n) (x)

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: An open-topped box is made from a piece of cardboard that is 16 inches by 32 inches by cutting…

A: A cuboid is basically a 3-D representation of a rectangle, with the added dimension of height. A…

Q: On the graph of f(x) apply. = csc x and the interval [0, 2n), for what value of x does f(x) = -1?…

A: Given  f(x) = csc x , x∈[0,2π) csc x  is negative in 3rd and 4th quadrant

Q: 6) lim f(x) x-1 f(x) A) 1 B) -1 C) 0 D) Does not exist

A:

Q: f(x) (4) lim x-c g(x) L M provided M0 and g(x) #0 for any a E

A:

Q: (2) f is monotone decreasing if and only if f'(x) < 0 for all r E I.

A: Here we will going to use mean value theorem  Mean value theorem (MVT) Suppose f(x) is a real valued…

Q: Let h(x)=f(x)g(x). If f(x)=4x^2−4x+4,g(−1)=2, and g′(−1)=0, what is h′(−1)? Do not include…

A: Given, h(x)=f(x)g(x), f(x)=4x2−4x+4, g(−1)=2  and g′(−1)=0 f(-1) = 4-4+4 = 4 f'(x) = 8x-4 ∴ f'(-1)=…

Q: 43) For f(x) a) Give the domain of f b) Evaluate (-2), (0) and /(3) c) Graphf d) Is f continuous on…

A: To determine the nature of the given function

Q: find the value of a and b so the the function has a local extreme value of 1 at x=3 f(x)=ax+b/x^2-1

A:

Q: (2x² + 5, if x 5 Consider the function h(x) = Find the value of B such that h(x) is continuous at x…

A:

Q: a + bx, for x > 2 3, for x = 2 - ax?, for x <2 Consider the function f(x) = Determine the values of…

A:

Q: If f(x) = |x|, then f(−1) = 1 and f(3) = 3 but f'(x) is never equal to f(3) − f(−1)/3 − (−1)=1/2.…

A:

Q: The function f(x) = x/(x² – 1) is (b) odd (c) not defined at a = 0 (d) neither even, nor odd (e) not…

A: The vertical line test can be used to determine whether a graph represents a function. If we can…

Q: of y = f (x). %3D 7 (a) On what interval or intervals is f (x) increasing? (b) On what interval or…

A: Since you have posted multiple question with subparts , as per our guidelines we will answer the…

Q: 7: The graph of f' is given to the right. Which of the below graphs is a graph of its antiderivative…

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: |The graph of f(x) is given by -14) (1, 4) Determine is f is continuous at x = c. (a) r= -4 (c) x=1…

A:

Q: The graph of f(x) is given by (-1,4) (1.4) Determine is ƒ is continuous at x = c. (a) x = -4 (c) r =…

A: According to question We have to determine is f is continuous at x=cAs we know that a function f is…

Q: .. The graphs above are approximate graphs of f and f' for f(x) = a²(x – 15). So f is decreasing…

A:

Q: x2 x3 x4 x5 x1

A: A: From graph Only for x1, f(x) &gt;0 (For x2, x3, x3, x5  f(x) &lt;0)    B:    f'(xi) &gt;0 implies…

Q: f(x) z400 g(x) lim where f(r) and g(x) are seen in the graph. 3 S(x) 2 -5 -4 -3 -2 -1, 2 9(x)

A:

Q: The function f(x) -1/(x* +6) is continuous for all values of x in R. False True What is the range of…

A:

Q: The graph of y = f(x) is shown. Use the graph to answer the question. Is f continuous at x = -4?…

A: The graph of the function y = f(x). With the help of this graph, we have to show that, Is the…

Q: (x³ + 4, if x 2] Consider the function f(x) = Find the value of D such that f(x) is continuous at x…

A:

Q: Bx, if x 2 S Suppose that v(x) = Find a value of B such that the function v(x) is continu- ous for…

A: The given function  v(x)=Bx, if x≤25, if x&gt;2 To find the value of V such that the function v(x)…

Q: does y=e9-x2-2 exist? whaet is the domain and range of the function if exists

A: Given function is  y=e9-x2-2 which is of the form of exponential function and it exist.