Use algebraic manipulation to show that each of the following functions has a fixed point at p precisely when f(p) = 0, where f(x) = x + 2x² - x - 3. a. 81(x) = (3+x-2x²) ¹/4 b. 82(x) = 1/2 c. 86x) = (x+3) ¹² C. d. x+3-x4 2 84(x)= 1/2 3x + 2x² +3. 4x³+4x-1

Q: . Is this function even, odd or neither

A: This is a problem related to function calculation. Please follow the procedure given below.

Q: Evaluate  f(−7), f(0), and f(3)  for the piecewise defined function. f(x) =    x + 2     if x < 0…

A:

Q: Let f(x) = 1- 8x + 4x². Calculate the following values: f(a)= 4a²-8a+1 f(a+h) = 4a²+ Sah+ 4h²-8a-8h…

A: To find the value of difference quotient.

Q: Consider the following function: -{ ( 2x² – 10x + 4 if x < 4 = (x)f - 2x2 – x + 6 if x 2 4 Step 1 of…

A: Given function f(x)  To find the x-value where function is discontinuous.

Q: Find the domain (in interval notation) of the following functions

A: Domain: Domain of a function is the set of values of x for which the function is defined and real.

Q: Evaluate the following: 1. f(-8)= 2. f(-1)= 3. f(3) = f(x) = x² + 2x x + 8 if x -1.

A: Given: f(x)=x2+2x  if x≤-1x+8      if x&gt;-1

Q: Find the x-intercept(s) of the following function. f(x)=x2−16

A: Just substitute f(x) equal to zero and solve the equation, you just need a2-b2=(a-b)(a+b).

Q: x2 + x – 2 At which value of x does the function f(x) have a removable x3 – 3x2 + 2x -…

A:

Q: If f(x)=[x+4]-7 which of the following functions would translate f(x)1 unit to the right and 3 units…

A: Translation on f(x) Function  Translation Function after translation f(x) a units right f(x-a)…