Using the Derivation by Finite Differences, find the f '(x) according to the function given by the following table of values:

Q: 4(a). Define the zeroth divided difference by f[x,]= f (x; ). Write the expressions for the first…

A: As many questions are given and its various subparts, I will solve only the first. Zeroth divided…

Q: Determine whether the equation defines yas a function of x.Explain your reasoning: y = 3x -1 / x+2

A: Given equation is : y=3x-1x+2 Determine whether the equation defines y as a function of x.

Q: Suppose that the function P (x) represents the profit of a company (in dollars) when x units are…

A:

Q: Determine where f is increasing. ∫(x) = x3

A: Given: Determine where f is increasing.  f(x) = x3

Q: f(x)=/7x* + J5x° = Jx

A:

Q: 1olvsrled bne 7. Find the difference quotient f(x+h}-f(x) for the function f(x) = x2 - 1. h

A: For the solution follow the next step.

Q: Using the graphs of the functions y=f(x) (red dashed line) and y = g(x) (blue solid line), evaluate…

A:

Q: Determine a function that will best match the following points: (1/2, 0), (2 ½, -2), (4 ½, 0), (7 ½,…

A: We find the Lagrange interpolating polynomial. We have: x x0=12 x1=212=52 x2=412=92 x3=712=152…

Q: 1-x Determine f"(a) for f(x) when a = -1. а. -1 с. 1 b. 0 d. 3

A:

Q: Find an expression for f(x) and state its domain in interval notation given that f is the function…

A:

Q: 1) Let f(x) be a function with Domain [-6,-2] and  Range [-10,-4]. Find the domain and range of the…

A: Given that for f(x) Domain [-6,-2] and  Range [-10,-4]

Q: R(x) = //x – 1 X.

A:

Q: What do the Algebraic functions include?

A: An algebraic function include variables, constants and algebraic operations (such as addition,…

Q: Define f(x) = 5 + 4x - x² What is the range of this function? (-00, 2] (-∞0, 9] (-∞0, 0) (-0, 0) [4,…

A: