For each parabola, a) Write the equation of the function; b) Give the minimum or maximum value of the function; c) Find the domain and range.

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

For question 5:

For point a:

For point b:

For point c:

For question 6:

For point a:

  (the negative sign is used to change the direction of the parabola)

For point b:

For point c:

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

step-by-step explanation: