3. The graph of a function f is shown above. Which of the following expresses the relationship between L(2) dz. 1 (2) dz? f (=) dz, and f (x) dz? f(z) dz < f(z) dz < f (z) dz (=) da < f(2) dz < f(=) da © 1 (2) daz < f(#) dz < f(=) da f (2) dæ < f (2) dz < (2) da

Q: Given the graph of f" (x) at what values is there a possible inflection point? y 2 4 8 O 1, 4, and 7…

A: We have to check

Q: 4. a) Ralph thinks that if a function is positive (i.e f(x) > 0) over an interval, then its…

A: Take, f(x)=x2 over an interval [-2,-1] over this interval f(x)&gt;0, but, f'(x)=2x which is strictly…

Q: ☐ blue 18. On the graph below are f(x), f'(x), and ƒ"(x). Identify each function. Red -4 Purple Blue…

A: The degree of f(x) is one degree higher than f'(x)The degree of f'(x) is one degree higher than…

Q: A function f(x) is defined as: 3 f(x) = x³-2x+ x2 At x = a, where −2 < a < 2, the tangent to the…

A:

Q: 5) Chapter 3.3 Find the second derivative of f and discuss the concavity of its graph. a. f (x) =…

A:

Q: The graphs of the functions f and g are shown below. y 8 7 g(x) 6 f(x) 5 4 V ZA Z 3 2 1 -3 -2 -1 4 5…

A:

Q: 1. Identify a function that would have this dom ain and range and draw its graph: D: (x/x E R, x +…

A: The objective is to identify a function that would have the given domain and range and draw the…

Q: You are given the graph of f(x) shown below. Sketch two functions F where F'(x) = f(x). In one case,…

A: Here, we have to given a graph of function f(x). We need to find two choices of function F'(x)=f(x)…

Q: 3. The graph below is the graph of the derivative function f' of a function f. Y 4 2 my 2 -4 'f' For…

A: Say about the behavior of function f when f'(x) is given .

Q: Given the graph of y = f(x), sketch the graphs of f' and f" on the same set of axis. 1.

A:

Q: fünction and its graph are given. f(x) = x3 + 3x² 3 16х — 20 %3D y 100 50 - 10 -5 -50 (a) From the…

A: To find the properties of f'(x) and f"(x) from the graph of the function.

Q: 1. The graph of a function y = f(t) is shown below. (a) On the graph below, sketch the line with…

A: A line that intersects a curve at two-point is called a secant line if the intersecting two…

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: On the attached graph, indicate the position of f'(1).

A: The slope of the graph decreases the derivative graph also decreases. Similarly, as the slope of the…

Q: 1. Given the function f(x) = x³ - 3x² - 9x + 7, make a sign diagram for the first derivative and…

A:

Q: Sketch the graphs of the function f(x) = sin x .

A:

Q: 5. Let the derivative of the function f(r) be novin at dad FOLL 11 g(x)=x+ sin(x - 2) and ƒ(2+)-f(2)…

A:

Q: 2. Select Show additional function. Graph y = 5(1 + 0.20)' along with y = 5(1-0.20). A. What do the…

A: Graph of y=5(1+0.20)t

Q: How will you differentiate an implicit function that can't be expressed in the form of y = f(x)?

A: For the differentiation of implicit function, we will differentiate each side of an equation with…