6. Let y = f(x) be a function that is differentiable at all real numbers. Suppose f has the form: Sex²-b if x < 4 f(x) -2√x+c if x > 4 Find the values of b and c.

Q: Analyze the graphs of b(x), c(x), d(x), and f(x). Write each function in terms of the indicated…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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

A:

Q: 3. a) Determine algebraically whether the function f(x) = –3x° + 4x² is even, odd, or neither. b)…

A: Please find attachment for the details solution

Q: The function f(x) is defined as f(x) = 2x + 5. What is the value of f(- 7/4)? a. -17 b. 3/2 c. 17/2…

A: given f(x)= 2x+5 f(-7/4)= 2(-7/4)+5 =-7/2+5 = -3.5+5= 1.5 = 3/2 f(-7/4)= 3/2

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: f(x) = √(x - 1) a. Find an equation for f -1(x).b. Graph f and f -1 in the same rectangular…

A: Given function is y=x-1.

Q: 9

A: We will find the difference coefficient.

Q: For the functions f(x)= x - 8/4x - 1 and g (x)= 9/x+2, find f+g, f-g, f x g, and f/g. Simplify these…

A: Consider the given functions f(x) and g(x). Then find the mentioned operations and the domain for…

Q: Let f(x)=x+2 and g(x) = 2x². Perform each fun then find the domain of the result. 8. (f+g)(x) 9.

A:

Q: 3. Determine the monotonicity of the following function: f(x) = -x3 – 3x + 6

A:

Q: 25. Let f(x) = 5x² + 1. Evaluate and simplify each of the following: f(4)-f(1) 4-1 (A) (Bu PC (B)…

A: Given function is we have to evaluate the following  and simplify them

Q: State the domain and range of f(x) = 2³6 +5. A. Domain: {x = R} Range: {v = R} B. Domain: {x €R[x>3}…

A: