Given the relation {(2, 3), (-2, 2), (1, 5), (0, -1)}, state the range! A. {-1, 2, 3, 5}

B. {-2, 2, 0, 1}

C. {-2, 2, 5}

D. {-2, -1, 0, 1}

Determine the domain and range of the given function:

y = –x4 + 4

This is just a garden-variety polynomial. There are no denominators (so no division-by-zero problems) and no radicals (so no square-root-of-a-negative problems). There are no problems with a polynomial. There are no values that I can't plug in for x. When I have a polynomial, the answer for the domain is always:

the domain is "all x".

The range will vary from polynomial to polynomial, and they probably won't even ask, but when they do, I look at the picture:

graph

The graph goes only as high as y = 4, but it will go as low as I like. Then:

The range is "all y ≤ 4".