(x2 — 2, х < -2 f(x) = x+ 3, х 2 -1

Q: 4. Consider the function f(x) = |x + 1|whose graph is shown below. 4. a. Is the function…

A:

Q: . Find the value of a that makes the following function differentiable for all x-values. Jax, if x…

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Q: Consider the function f(x) = x-2 x²-4

A: The given function is f(x)=x-2x2-4. To Examine: Continuity of f at -2 and 2.

Q: increasing and decreasing. 5) f(x) = -x² +4 fx) -4 위

A: Given :  f (x) = - x 2 + 4    To determine : The intervals on which f (x) is increasing or…

Q: Determine if the given function below is continuous at x-2. Attached your complete solution and…

A: Topic = Continuity

Q: Q2\\ Find the value of (a) that make the function below continuous at x 2: (a*x-2a x22 fx) = 12 x<2

A: Definition used-                     Continuity of function -                     A…

Q: Find the open intervals on which the function is increasing or decreasing.        y = x + 9/x

A: To find the critical points we solve dy/dx=0

Q: Find the open intervals on which the function is increasing or decreasing          g(x) = (x + 1)3

A: We first find g'(x)

Q: Given the graph of f(x) below, find the graph of the derivative of f(x). 4 3 -6-5-4-3-21 3. 4 56 2…

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Q: ] B1(a): Find the value of k that makes function continuous at x = 4 | 3x + 6 5х — k f(x) = x > 4 x…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Determine the open intervals on which the graph of the function is concave upward or concave…

A: The concavity of a function can be determined from its second derivative. If the second derivative…

Q: What is the end-behavior asymptote for the function f(x) = ? I+1

A: End behavior of the graph of a function fx is how the graph behaves when x approaches to infinity or…

Q: y -2

A:

Q: -9x+10 2. Let f(x) = Determine if the function is continuous and show the graph of the function. x-2

A: Let's find.

Q: Find the points on the graph of the function that are closest to the given point. F(x)=x², (0, 9)…

A:

Q: Find the value of k that makes the following function continuous. Graph the function. x2- k, if x…

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Q: x+3 10. At which points do the functions y = fail to be continuous? If any, are x2-3x-10 the…

A:

Q: 3. Provided the graph of a function f below. y = f(x) 12 10

A: Given the graph of a function

Q: Given the graph below, what can you say about the function at x = -2? -10 Not Continuous Continuous

A:

Q: Determine the open intervals on which the graph of the function is concave upward or concave…

A: Differentiate h(x) with respect to x to get h'(x)=5(x4-1). Equate h'(x) to 0 and find the values of…

Q: For the function whose graph is shown below, at which value of x is the graph continuous and…

A: Sol

Q: Find an equation for f(x) using the secant function. (x) f(x) 10 x 3 -2 n 2) 2. 4. 6.

A: we will find the equation of fx using secant function. Let a function: fx=asecx By using graph we…

Q: is the interval of decrease for the following function? f(z) =-|z – 2| +3

A: Topic = Functions

Q: Where is the following function considered to be increasing? YA y= f(x) 3 -2 -1 0 2 3 X. -5 -4

A:

Q: 3. Which interval of decrease is incorrect for the given function in each case? a) y = 5/x; (-00, +…

A: Given that:

Q: 3. Which interval of decrease is incorrect for the given function in each case? a) y = 5/x; (-0, +…

A: This question is based on application of derivative.

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x² – 4,…

A:

Q: Find the absolute extrema of the function on the closed interval.

A: Given function - f(x) = x3+6x2To find the absolute extrema we need to find the critical points…

Q: x-4 17. f(x)%D at x 1 x-2

A: Given problem:- f(x) =(x2 -4)/(x-2)  To find:- Check Function continuous at x=1

Q: Determine the intervals of concavity for the graph of the function f(x)= xe^x. ( Enter your answer…

A: The graph is shown below::

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2,…

A: To determine the points on the graph of the function that are closest to the given point.

Q: Find the points of inflection and discuss the concavity of the graph of the function f(x)= x +…

A:

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

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Q: The accompanying graph is a sketch of the function y f(x) over the interval 0<xS7.

A: (fof)(x)=f(f(x))so that  f(f(6)) = f(2) because f(6) = 2

Q: 3) Write the function whose graph is the graph of y = Vx, but is stretched vertically by a factor of…

A:

Q: Q3\ Determine if the given function is continuous or discontinuous at the indicated points 2_x x² +…

A: We have been given the function to us  2xx2+6x-7

Q: Find the intervals of increasing/decreasing, local extrema, intervals of concavity, and inflection…

A: Here is the solution of the given problem.

Q: 5) f(x) = ²-4 x-2 4 if x # 2 if x = 2 Is f(x) continuous at x=2? Sketch the graph of the function.

A: (5) Solution:- Function can be written as :- Continuity of x2-4x-2:x&lt;2  or   x&gt;2, &amp;  4  :…

Q: The following graph shows f'(x). On what interval is f(x) decreasing? 12 20 28

A:

Q: Find the absolute extrema of the function on the closed interval. F(x) = x³ -?, (-1, 4] 2

A: Given,            fx=x3-32x2 , -1,4To find : Find the absolute extrema of the function on the closed…

Q: The graph of a function f is shown. Which graph isan antiderivative of f and why?

A: The graph for the curve f is :

Q: Find the value of the constant m that makes the following function continuous on (-00, 00). MI – 17…

A: Given that, fx=mx-17         if x&lt;-9x2+2x-8    if  x⩾-9 A function f is continuous at a point…

Q: f(x) - 3x5 - 20 x3

A:

Q: The graph of the derivative f' of a continuous function f is shown. (Assume f' continues to o.) y y…

A: Given that: Graph of f'(x)

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

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Q: 5. Use the following graph of the function y = f(x) to find (a) f(-4) = (b) f(-2) = (c) f(0) = (a)…

A: To get value of f(x) take point on graph of f(x) corresponding to x then from this point on graph…

Q: Find the intervals on which the function f(x)=xlnx is increasing and decreasing.

A: