Sketch the graph of the function with points (-2,0), (0,0) and (2,0) (4,2) and vertical asymptote at x = 1 and horizontal asymptote at y = 1. Label the extrema and points of inflection. f'(x) -2 0 1 2 f'(x) + 2 0 + 2 3

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<0 for…

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: Assume that for a function f(x), f'(x) « O on the interval (-0, -5) and f'(x) » O on the interval…

A: From the given definition:  f ' (x) < 0 when x < -5 so graph must be decreasing in this…

Q: Sketch the graph that possesses the characteristics listed below. f'(-7) = 0, f"(- 7) 0, f(- 3) = -…

A:

Q: Find the slope of the curve y=x^3-3 at the point ​P(-2,-11​) by finding the limiting value of the…

A: Given,y=x3-3Point P -2,-11The slope of the secant line ism=fb-fab-a

Q: Find the fourth degree Taylor polynomial, T4(x), for f(x) at -: Que f(x) = 3 sin(x) Que a) Find the…

A: We have to find Taylor polynomial

Q: 1. + + -1 1 2 3. a. Use the graph to explain why, for h > 0, f(a – h) – f(a) -h f(a + h) – f(a) <…

A: The formula for f’(x) for f(x) = 2x is given asddxax=axlnaif a=2 then:ddx2x=2xln2f'x=2xln2