Answer: (7) see below (8) see below (9) NO (20) see below
<u>Step-by-step explanation:</u>
Inverse is when you swap the x's and y's, so switch the coordinates for the inverse.
(7)
f⁻¹(x) = (5, -13), (-9, -9), (-2, -5), (-5, 1), (-4, 0), (6, 4), (10, 9), (32, 14)
This is a function because there are no duplicate x-values.
(8)
The endpoints and vertex on the given graph are (-7, 2), (-1, -2), & (1, 4)
The graph should swap the x and y-values of the coordinates above for the endpoints and vertex, which results in (2, -7), (-2, -1) & (4, 1)
To graph the inverse, draw a line from (2, -7) to (-2, -1) and another line from (-2, -1) to (4, 1).
(9) This is not a function because it fails the vertical line test. In other words, there are duplicate x-values. <em>You can draw a vertical line through x = 0 (as an example) and it touches two points.</em>
In order to make this a function, you would have to restrict the domain to: x > 2
(20)
f⁻¹(x) = (5, -3), (-9, -2), (-2, -1), (-5, 0), (-4, 1), (6, 2), (10, 3), (8, 4)
This is a function because there are no duplicate x-values.
