The functions f, of, xf(x), g, of, xg(x), and h, of, xh(x) are shown below. Select the option that represents the ordering of the functions according to their average rates of change on the interval minus, 1, is less than or equal to, x, is less than or equal to, 4−1≤x≤4 goes from least to greatest.
f, of, x
f(x)
x
y
xx g, of, xg(x)
minus, 1−1 5050
00 3737
11 2626
22 1717
33 1010
44 55
h, of, x, equals, minus, x, squared, plus, 10, x, minus, 12h(x)=−x
2
+10x−12
Answer
Multiple Choice Answers
h, of, x, comma, g, of, x, comma, f, of, xh(x),g(x),f(x)
g, of, x, comma, f, of, x, comma, h, of, xg(x),f(x),h(x)
h, of, x, comma, f, of, x, comma, g, of, xh(x),f(x),g(x)
f, of, x, comma, g, of, x, comma, h, of, xf(x),g(x),h(x)
f, of, x, comma, h, of, x, comma, g, of, xf(x),h(x),g(x)
g, of, x, comma, h, of, x, comma, f, of, xg(x),h(x),f(x)