Question

1) Find the minimum and maximum values for the function with the given domain interval.



minimum value = 7; maximum value = 8

minimum value = 0; maximum value = 7

minimum value = 0; maximum value = none

minimum value = none; maximum value = 8

minimum value = 0; maximum value = 8

Answer 1

Answer:

"minimum value = 0; maximum value = 8"

Step-by-step explanation:

This is the absolute value function, which returns a positive value for any numbers (positive or negative).

For example,

| -9 | = 9

| 9 | = 9

| 0 | = 0

Now, the domain is from -8 to 7 and we want to find max and min value that we can get from this function.

If we look closely, putting 7 into x won't give us max value as putting -8 would do, because:

|7| = 7

|-8| = 8

So, putting -8 would give us max value of 8 for the function.

Now, we can't get any min values that are negative, because the function doesn't return any negative values. So the lowest value would definitely be 0!

|0| = 0

and

ex:  |-2| = 2 (bigger),  |-5| = 5 (even bigger).

So,

Min Value = 0

Max Value = 8

Answer 2

Answer:

minimum value = 0; maximum value = 8

Step-by-step explanation:

The function $f(x)$ is an absolute value function, which means that for negative values in it's domain it gives positive values of  $f(x)$, and therefore it's minimum value is 0.

In the given domain interval the maximum value of the function is 8 because $f(-8)=8$.