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

"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

minimum value = 0; maximum value = 8

Step-by-step explanation:

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

In the given domain interval the maximum value of the function is 8 because .

2

step-by-step explanation:

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4