Math Problem Statement

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 2, is less than or equal to, x, is less than or equal to, 62≤x≤6 goes from least to greatest. f, of, x f(x) x y xx g, of, xg(x) 22 77 33 1010 44 1515 55 2222 66 3131 77 4242 h, of, x, equals, x, squared, minus, x, plus, 28h(x)=x 2 −x+28 Answer Multiple Choice Answers g, of, x, comma, h, of, x, comma, f, of, xg(x),h(x),f(x) f, of, x, comma, g, of, x, comma, h, of, xf(x),g(x),h(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, h, of, x, comma, g, of, xf(x),h(x),g(x) h, of, x, comma, g, of, x, comma, f, of, xh(x),g(x),f(x)

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Math Problem Analysis

Mathematical Concepts

Average Rate of Change
Linear Functions
Quadratic Functions

Formulas

Average Rate of Change = (f(b) - f(a)) / (b - a)
h(x) = x² - x + 28

Theorems

Linear functions have a constant rate of change
Quadratic functions have a variable rate of change

Suitable Grade Level

Grades 8-10