Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.
a.
g(-4) = -11
b.
g(0) = 2
c.
g(7) = -1
d.
g(-13) = 20

Statement D:   true, because 20 is within the range of g.

Step-by-step explanation:

Drawing coordinate axes and marking the points given for x = 0 and x = -9

we see that x: {-9, 0} and g(x) = {6, -2}.  These sets are within the domain and range of g(x) as given.

The graph of g(x) cannot be precisely determined from the data given, but do indicate that it is a line or mild curve beginning in the 2nd quadrant, crossing the x-axis between x = 0 and x = -5.  Therefore:

Statement A is false because the graph is above the x-axis when x is -4;

Statement B:  false because g(0) = -11 is outside the range of g;

Statement C:  false because x = 7 is outside the domain of g; and

Statement D:   true, because 20 is within the range of g.

to find the unit price, we must figure out the cost of one item (in this case one dish towel).   to do this, we divide the total price ($7.92) by the number of items bought (for this problem it is 8, because there are eight dish towels in one pack).  

$7.92/8 = $0.99

therefore, the unit price, or the price of one dish towel, is $0.99.

hope this !