-54 -3 -2 -2 This is the graph of the derivative f '(x). The function f(x) (whose graph you do not see) is concave down on the interval 3. 2. 3.

Q: -5 -4 -3 -2 -1 + Ley 3 -5-4-3-2 1 F-1 Choose the graph of its derivative from among the following…

A: Given query is to find the graph of derivative.

Q: -(x) u'00-x n(x) = -2(x-3)(3x-2)°(r+4) Determine the end behavior of the graph of the function.

A: We will use limit to find the results

Q: Sketch the derivative of the graph given (with explanation)

A: Since, the polynomials are defined over entire real number line, they are simple and smooth(i.e.,…

Q: b. f(x) = (x³ + 2x² + 4) (x 4 − 3) c. f(x) = = 3x²-6x+7 4x-1 d. f(x) = (4x³- 7x)7 -

A: To find the derivative of each of the following functions.

Q: Example: Sketch pictures of some functions that would not have a derivative at x = 2.

A:

Q: 2. The graph of a function p(x) is shown to the right. 100 (a) Draw the secant line that intersects…

A: The detailed solution of the problem is given in the next steps.

Q: Use the graph below of f(x) to fill in the missing values below. 3 2 1 f(x) 1 3 a) f(0) b) f(x)=0,…

A: Given problem:-

Q: Below is the graph of a function. Which of the following could be a graph of its c 3 2 1 -2 T3/ 1 2…

A:

Q: Use the graph of y = f(x) to sketch the graph of its derivative f(x). y 20 16 12 하 4 -5 -4 -3 -2 -1…

A:

Q: The graph of f-1 is given below. Graph the tangent line to f-1 at the point P(-4, 1) for f(x) = -2x²…

A:

Q: Let the graph below represent f(x). For which values of x is f(x) increasing? 20 16- 12- -5-3-2 8+…

A: The graph of the function f'x is To evaluate: The values of x for which fx is increasing.

Q: 10. The graph of the function f is drawn below. (-4, 2)9 2 y = f(x) -3 -1 (y = 0) (-2, –2) (a)…

A: Graph of the function y=f(x) is given, we have to sketch the graph of y=-f(x-1)

Q: shows the effect of translating the graph of f(x) = l/(x 2 + 1) vertically andhorizontally.

A: Given f(x)=1x2+1

Q: The graph of f(x) is given below. On what interval(s) is the value of the derivative f'(x) negative?…

A: Given : The graph of the function f(x). To find : On what interval(s) is the the value of the…

Q: Consider the graph of g(x) shown below. (a) If g(x) is the first derivative of f(x), what is the…

A: a) It is given that gx is the first derivative of fx. From the given Figure, the x intercepts are…

Q: Please provide me with the solution and work to the question. Please try to dumb it down so I can…

A: (a) The f(x) is maximum at x = -4 and minimum at x = 2.So x = -4 and 2 are the critical…

Q: Given the graph of y = f(x) sketch the graph of f'(x) 2 -2 -2

A: Given: The graph of fx as follows:   To sketch: The graph of f'x

Q: Question 11 The point (17, - 3) is on the graph of y = f(x). 1 a) A point on the graph of y = g(x),…

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

Q: Consider the function, whose graph y = f(x) is shown below. -3 -2 What is the set of values of x E…

A:

Q: Consider the graph below. 4) (1, 4) -1,52) (3.-4) (-4, 5) Determine if f is continuous at x = c. (a)…

A: Given  The graph of the function    Definition of Continuity :- A function f is continues at x= c…

Q: -5 -4 -3 -2 -1 5 4 3 2 1 -1 -2 -3 -4 -5 2 3

A:

Q: The graph of f(x) is given below. Sketch a possible graph of the derivative f'(x). 20 f (x) 10- - 10…

A: Remark: The derivative of a function is a general slope function.  If the slope of f(x) is negative,…

Q: y = x³ + 1 (x (x² 2 3 x + 3 -1 - 2x + 1)

A: The given function,      y=x3+1x3+3x2-2x-1+1

Q: You are given the graph of f(x) shown below. f(x) AV Which of the following could be a graph of…

A:

Q: ☐ ☐ 4. The figure below shows the graphs of f(x), f'(x), and f" (x). Identify each curve. blue black…

A: Step 1:Step 2: Step 3: Step 4:

Q: Σ orange black blue ☐ orange blue black 5. The figure below shows the graphs of f(x), f'(x), and…

A: 5.) The blue curve represents the graph of f(x) because it exhibits the most continuity compared to…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: