Drag each interval to the correct location on the table. Each interval can be used more than once.

Consider the functions f(x) = -2(x − 3)2 + 2 and g(x), which is represented by the graph.

Drag each interval to the correct location in the table to describe key features of f(x) and g(x).

(-2, ∞)
(2, 4)
(-∞, -6) and (2, ∞)
(3, ∞)
(-∞, 2) and (4, ∞)
(-6, 2)
(-∞, -2)
(-∞, 3)

Drag To: Increasing, Decreasing, Positive, Negative
f(x) or g(x)

Step-by-step explanation:

Consider the functions f(x) = -2(x − 3)2 + 2 and g(x), which is represented by the graph.

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

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: