4. Graph f(x) = x4 - 4x² + 2 in Desmos. Then find f'(x) and graph it on the same graph. (Using the wrench tool, set the graph boundaries to -3 < x <3 and -6 < y < 6.) a) Where does f'(x) cross the x-axis? What is the slope of f(x) at that point? b) On what intervals is f'(x) above the x-axis? What is happening to the slope of f(x) on those intervals? c) On what intervals is f'(x) below the x-axis? What is happening to the slope of f(x) on those intervals?

Q: I need help graphing f(x)= 1/2x +1 and g(×)= -|x-2|+5 Y= F(×) as a line Y= G(×) as 2 ray segments

A: Given function f(x)=12x+1 Since, graph of function h(x)=1x is hyperbolic shaped. To obtain 'f(x)'…

Q: A student recognizes that given the function f(x), they are able to simplify the function as…

A:

Q: - For the following graphical representation of a function f(x): (1) Mark the points on the graph…

A: Since you have posted a question with multiple subparts, so we will solve only the first three…

Q: 13) Graph if f(x) = x when x = -1,2,4, or 8; f'(x) = 0 if x = -1,2,4, or 8; f'(x) 0 throughout…

A: Given: 1. fx=x when x=-1,2,4,8.            2. f'x=0 when x=-1,2,4,8.            3. f'x&lt;0 for…

Q: 1.f(x) = 1 - 2x + x^2 ( a) Match the equation with its graph (a-f). (b) Identify the turning…

A:

Q: 1) Shifts and relfectdions: Let f (x) := x’. Then do the following graph f(x) and f(x+2) in the same…

A: As per the guidelines I have to solve only first three subparts of your question. The solution is…

Q: Equation: Answer:

A: We want to find value of x. For this we use Pythagoras theorem, which states that Hypotenuse2 =…

Q: Sketch the graph of a function that satisfies all of the given conditions. (a) f'(x) < 0 and f"(x) <…

A: ?If f'(x)&lt;0 then slope of the tangent of any point on the curve is negative. ?If''(x)&lt;0 then…

Q: 5. a) Find the equation of any tangent(s) to the graph of f (x) = -x² + 6x + 5 that also go through…

A: Given

Q: Find the equation of the line tangent to the graph of the function at the indicated point. 20) f(x)…

A:

Q: 5. Determine algebraically whether the function f(x) = -3x5(4-9x2) ¹2 is even, odd or neither.

A: "According to the guidelines issued by the company We are supposed to answer only one question.…

Q: Use the graph of f and g. p(x) = f(x)g(x) f(x) q(x) = g(x) y 12 10 8 6 2 -2 6 8 10 (a) Find p'(4).…

A: a) Given that p(x)=f(x)g(x)So, p'(x)=f'(x)g(x)+f(x)g'(x) [product rule]We plug…

Q: what is the equation of the line through the point (-3,2) and has x-intercept at x=-1 2.

A:

Q: 1. Assume that the function f is a one-to-one function. (a) If f(2) = 5, find f-(5). Your answer is…

A:

Q: (x) > 0 and f"(x) > 0 for all x y y y

A:

Q: Find the equation of the slant asymptote for the function f(x)=x^2-x/x-2 y=

A:

Q: Let f'(x) = x³ - 9x² +24x +3.

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: If f'(z) > 0 and f"(z) > 0, then which one is a possible graph of f(r)? Select one: b. Od.

A:

Q: Ay Use the given graph of y = f(x) to evaluate the following. (a) f(-3) (b) f(2) (c) f(0) (d) f(-3)…

A:

Q: 12) Use the graph to evaluate the expression. (a) f(1) y = f(x) (b) f-'(1) (c) f-'(4) -3 -! 3 (d)…

A: Given Data The equation is y=f(x)   (a) From the given graph, that value at x=1 is y=1. Hence the…