The critical points of a rational inequality are x = –4 and x = 2. which set of points can be tested to solve the inequality?
x = –4 and x = 2
x = –5 and x = 3
x = –5, x = 0, and x = 3
x = –4, x = 0, and x = 2

The correct solution is choice C

Step-by-step explanation:

The critical points also turning points indicate the points where a function attains its maximum or minimum value and as such they cannot be tested to solve the function. The set of points that solve the inequality are the points where the function crosses the x-axis such that the value of the function is zero. These points lie to the right and to the left of the critical points

C. x = –5, x = 0, and x = 3

Step-by-step explanation:

The critical points of a rational inequality are x = –4 and x = 2. Which set of points can be tested to find a complete solution to the inequality?

x = –4 and x = 2

x = –5 and x = 3

x = –5, x = 0, and x = 3

x = –4, x = 0, and x = 2

-2 is the right

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.