Let f be the function given by f (x) x³ − 6x² + p, where p is an arbitrary constant. Write an expression for ƒꞌ (x) and use it to find the relative maximum and minimum values of f in terms of p. Show the analysis that leads to your conclusion. =

Q: let f(x) =4x+3 and g(x) =5x-2. find the function. f-g

A: Topic:- function

Q: f(x) = 2ax - bx² + 2ax – b %3D

A: fx=2ax3-bx2+2ax-b Now, simplify the above function, fx=x22ax-b+2ax-b=2ax-bx2+1

Q: Consider the function h(x) = (2x3 - 5)5 + (2x3 - 5)4. Write h(x) as a composite function, f ( g…

A:

Q: A function is defined by z = x2y - xy2. Identify the independent and dependent variables.

A: Given function is

Q: Locate and classify any extreme and inflection points of the function f(x) = 4x5 −5x4.

A:

Q: Write the function in its final position. f(x)= x³ first moved 2 units downward, then 3 units to the…

A: The objective is to write the function in its final position.

Q: Find f(a), f(a+h), and the difference quotient for the function given below.

A:

Q: Determine whether the equation defines y as a function of x : x = y2

A: The given function is: The given function has to be y=f(x).

Q: Determine how the function f behaves at infinity. f(x) = (x³∕2x³) + (2/5x) -2

A:

Q: Use the functions below to evaluate and simplify the function compositions. ƒ₁(x) = 4x² – 3x − 1,…

A: Given : f2(x)=7x2-3x-10   To Find : (f2ο f2)(-1)

Q: find (g-f) (-2) b. Evaluate the function f.g for x=-1, find (f.g)(-1) c. Find the the

A: