Consider the function f(x) 4x + 32x + 4 on the interval – 7, - 1]. Evaluate this function at the %3D endpoints of the interval. f(- 7) = f(- 1) = Does Rolle's Theorem apply to f on this interval? O No O Yes If Rolle's Theorem applies, find c in (– 7, – 1) such that f'(c) = 0. C = O Rolle's Theorem does not annlu

Q: 8x + 12 Let f(x) : - 10x + 4 a. Determine the vertical intercept for f by evaluating f(0). f(0)…

A: NOTE: Refresh your page if you can't see any equations. . to find the vertical intercept take x=0

Q: For the function f(x) = 5x° -4x +2x + 3, findf "(x). Then find f"(0) and f"(4). f"(x) = Select the…

A: Double derivative

Q: Use the graph of the function f shown to the right to find f(-1), f(0), and f(1). f(-1) =

A: Given the graph of function of f . To find f(-1) , f(0) and f(1) using the graph.

Q: Find functions f and g so that fo g=H. H(x) =x +4 Choose the correct pair of functions. OA. OB. f(x)…

A: Solution

Q: x + Vx? -1 f (x) = X

A: Consider the given function, fx=x+x2-1x the domain of the function is the set of all possible real…

Q: Determine F(x) if, for all real x and y, F(x)F(y) – F(xy) = x + y.   Hint:  What could F(1) be?

A: Consider the provided question, We have to find F(x).

Q: Let f be the function defined by ƒ (x) = x² − 12x³ + 48x² − 64x. Which interval is the graph of f…

A:

Q: 2 Suppose y is a function of x such that y * and y(4) = -3. Find y. |

A: The differential equation is given by y' = 2x                                   .......(1) Initial…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.