What is the next fraction in this sequence? Simplify your answer. 9/11, 6/11, 4/11, 8/33, ...

12/33

Step-by-step explanation:

from backward

4+4=8

11+11+11=33

8/33

3+3=6/11

3+3+3=9/11

4+4+4=12

11+11+11=33

12/33

The graph of the given function : f(x) = 4|x| is attached below :

Before plotting the graph fir finding the nature of the function f(x) such as Domain, Range, Intervals of increasing and Decreasing of the function.

1) Domain : Since |x| can take any real value so the domain of the given function 4|x| is every real number.

⇒ Domain of 4|x| = (-∞,∞)

2) Since, the absolute value function only gives positive value and 0. So the Range of the function is every positive real number including 0

⇒ Range of 4|x| = [0,∞)

3) If we check the value of 4x when x<0 then the value is negative

⇒ The function 4|x| is decreasing in the interval (-∞,0]

4) If we check the value of 4x when x>0 then the value is positive

⇒ The function 4|x| is increasing in the interval [0,∞)