Which interval for the graphed function contains the local maximum? a ( -3,-2) b (-2,0) c (0,2) d (2,4)

Option C is correct .i.e., ( 0 , 2 )

Step-by-step explanation:

We are given with a graph.

To find: Interval of local maximum

We can clearly see from graph that there is only one point of maximum.

Point of maximum is ( 1.55 , 10.8 )

Option A:

Interval is ( -3 , -2 ) means x > -3 & x < -2

but this interval does not contain x-coordinate of point of Maximum.

Thus, this option is incorrect

Option B:

Interval is ( -2 , 0 ) means x > -2 & x < 0

but this interval does not contain x-coordinate of point of Maximum.

Thus, this option is incorrect

Option C:

Interval is ( 0 , 2 ) means x > 0 & x < 2

Here, this interval contain x-coordinate of point of Maximum.

Thus, this option is correct

Option D:

Interval is ( 2 , 4 ) means x > 2 & x < 4

but this interval does not contain x-coordinate of point of Maximum.

Thus, this option is incorrect

Therefore, Option C is correct.

correct answer:

b.(19,-2)

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|