So these are the points of g(x): (-2, 2) (-1, 0) (0, 2) (1, 8)
And these are the answer choices: a.) <span>The function is decreasing from x = 0 to x = 1. b.) </span><span>The function is decreasing from x = −1 to x = 0. c.) </span><span>The function is increasing from x = 0 to x = 1. d.) </span><span>The function is increasing from x = −2 to x = −1.
Let's take a look at the first answer choice. It says that from x = 0 to x = 1, the y is decreasing. Well, when x = 0, y = 2 (from the point) and when x = 1, y = 8. So a.) is in fact wrong. The function is increasing from x = 0 to x = 1, not decreasing.
Let's look at the second choice. It says that the function is decreasing from x = 0 to x = -1. Let' look at the two points when x = -1 and x = 0.</span> (-1, 0) (0, 2) Well, starting from x = -1, the y is 0. And from 0, the y is 2. So the function is actually increasing at that interval. The second choice is incorrect.
And the third choice: from x = 0 to x = 1, the function is increasing. Look at the points. (0, 2) (1, 8) The y starts at 2 then goes to 8. So the function is indeed increasing.
The third choice is correct! ^-^
(always double check all answers but I'll tell you right now the fourth one is incorrect)
