17-20 Explain why the function is discontinuous at the given number a. Sketch the graph of the function. Te* if x <0 |x² if x 0 17. f(x) = a = 0

Q: 5. Describe the graph of the function at its roots: f(x 2) (x + 6) (x + 12) a. At x = 2, the graph…

A: To describe the graph of the given function on the given roots.

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A:

Q: 10. (a) The graph of f is given. State the point where the function is not diffetentiable (where the…

A: Solution 10(a): Since the at x = -3 we get Sharpe edge. Hence the function is not differentiable at…

Q: 7. Sketch the graph of a function that satisfies all of the following conditions. is an even…

A: Note that there are many possibility to draw the graph that satisfy all the given conditions.

Q: 1. The graph of f. the derivative of f, is shown for -2sxg5. On what intervals is f increasing?…

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Q: 14. The graph of f", the second derivative of f, is shown to the right for –2 < x < 4. What are the…

A: f will be concave down if f'' &lt; 0 . From the graph of f" we see that it is below the x -axis for…

Q: 9. The graph of the function is sketched as follows: Y 38 Determine the interval(s) on which the…

A: By observing  graph in first part function is decreasing in interval [-8,-1] in second part function…

Q: The graph of f(x): (a) Determine f(2). (b) Estimate the x values such that f(x) = 5 (c) Estimate the…

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

Q: In this post, you will use the first and second derivatives of a function (along with a few other…

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Q: A2. SOLVE STEP BY STEP IN DIGITAL FORMAT Define g(5) for the given function so that it is continuous…

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Q: a Graph the function b. For x &lt; 0, what is ƒ′(x)?c. For x &gt; 0, what is ƒ′(x)?d. Graph ƒ′ on…

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Q: 1.6.131-GC For the function below, graph t and f. Then estimate points at which the tangent line to…

A: We have to find derivative

Q: Suppose that the function y = f(x) is increasing on the interval [- 1, 5].(a) Over what interval is…

A: y=f(x) is increasing on the interval [-1,5]

Q: (2) EL At what point does the graph of the following function has inflection point y = Vx2 – 4 the…

A: Solution-

Q: 3 - x x 25 I) Graph the Function II) Is f continuous at x=2 ? why?

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Q: 1. Suppose f is an even function with f(3)=5 and g is an odd function with g(5)=3. a. Evaluate g(…

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Q: de function f(x), knowing that f (x)=e-2x +x and that the graph of the function passes through the…

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Q: 70 x'-6x The function f(x) = has a removable discontinuity at x = 0. To remove the 10+x2 x3+2x…

A: to see 2nd step

Q: Where is there a hole (point or removable discontinuity) in the graph of the followin function? x-1…

A: solve the following

Q: X - 2 Consider the function f(x) x – 4° Use the graphing utitlity to graph f.

A: 1. The given function f(x)=x-2x-42. f'(x)=x4-16x3+81x2-146x+80

Q: 9 Sketch a graph that has the following characteristics: • The function is odd. • The function is…

A: consider the function f(x)=x(x-3)(x+3). f(x) is an odd function as f(-x)=(-x)(-x-3)(-x+3)…

Q: The graph depicts the graph of g (x). The function is discontinuous at x

A: Here we have given the graph of g(x) .Now we have to find the points where the given function g(x)…

Q: Use a graph of to estimate the maximum and minimum values. Then find the exact values. Estimate…

A: Please see the graph on white board. The maxima is infinity and minima is 0.

Q: The graph of a function defined for x20 is given. y (a) Complete the graph for x<0 to make an even…

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Q: 3 - x xs 2) Q4// Let f(x) = } +1 ,x> 25 x I) Graph the Function II) Is f continuous at x-2 ? why?

A: Given, f(x)=3-x,              x≤2x2+1 ,            x&gt;2

Q: 2, 1 2 -1 -1 -5 -4 -3 -2 -2 -4 Use the graph of f(x) above to estimate the value of f'(1) to one…

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Q: 8. The graph of the first derivative f' of a function f is shown. y = f\x) 4 a. On what intervals is…

A: Given: The graph of the derivative of the function

Q: 1. The graph of the derivative of fis shown below. Assume that the domain of f is all real numbers…

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Q: 7. Find the exact x-value where the function f (x) = x +ln (x² – 1) attains a maximum value. An…

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Q: 3. Suppose a function H(t) is given and that this function describes the height H of a projectile t…

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Q: Here is a graph of the first derivative of a function f(x), for the interval -T <x < T. (a) From the…

A: The function f increases when the value of it's derivative f' is positive. Similarly f decreases…

Q: 9. The toll T charged for driving on a certain stretch of a toll road is $5 except during rush hours…

A: Making the graph from the given conditions

Q: The limit below represents the derivative of some function f(x) at some number a. 3(2 + h)° – 192…

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Q: Does the function f (x) = possess any symmetry? A. symmetric about x-axis (even function) B.…

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Q: Consider the function. x - 8 f(x) x + 3 Step 1 of 2: Find all values of x that correspond to…

A: The given rational function is: f(x)=x-8x+3      =x+3-11x+3…

Q: 12. Consider the function whose graph is given in this Figure: y -4 -2, 2 4 -2 (Enter an algebraic…

A: It is known that the absolute function is defined by  y=x                             (i) In this…

Q: Explain why the function is discontinuous at the given number a. Sketch the graph of the function. X…

A: let,20. f(x)=x2-xx2-1if x≠11if x=1;  a=121. f(x)=cos(x)if x&lt;00if x=01-x2if x&gt;0  ; a=0If f(x)…

Q: The graph of a function defined for x ≥ 0 is given. Complete the graph for x &lt; 0 to make (a) an…

A: (a).           To sketch :  The graph for x &lt; 0 to make an even function        From the above…

Q: Question 1 ( (a) Use the Second Derivative Test to find the local extreme values of the function…

A: As per guidelines, I can answer only one question. Since you have asked for multiple, so I did first…

Q: Lowing functions are inve k"x) = x + -1

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Q: Consider the function. x-7 f(x) x-6 Step 1 of 2: Find all values of x that correspond to horizontal…

A: solution:-f(x)=x-7x-6f'(x)=x-6ddxx-7-x-7ddxx-6x-62f'(x)=x-6-x-7x-62f'(x)=1x-62,     x≠6for…

Q: 9. For the function whose graph is drawn below, identify the x-values in the open interval (-4,7)…

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Q: 3. Write the coordinates of the local and the absolute extrema of the function whose graph is shown…

A: (1) From the given plot, see the coordinate (-6,0). It can be observed that the value of the…

Q: The graph of f'(x), the derivative of a function f(x), is pictured below on the closed interval…

A: Given graph of derivative of function is

Q: 5. a) Identify f, f', and f' from the graph below. b) Sketch the graph of the derivative in the…

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Q: 723 II 1. Given this function: (4pts) if x<0 f(x)={ x² if 0<x<3 1 if x23 a) Sketch the graph of the…

A: In question we have to plot the graph and find values.

Q: x2 - 25 How should the function f(x) be defined at -5 to make it continuous at -5? x + 5 (А) —10 (B)…

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