Math Problem Statement
An object was dropped off the top of a building. The function f, of, x, equals, minus, 16, x, squared, plus, 144f(x)=−16x 2 +144 represents the height of the object above the ground, in feet, xx seconds after being dropped. Find and interpret the given function values and determine an appropriate domain for the function. Answer Attempt 1 out of 2
f, of, minus, 2, equalsf(−2)= , meaning that seconds after the object was dropped, the object was feet above the ground. This interpretation in the context of the problem. f, of, 1, point, 5, equalsf(1.5)= , meaning that seconds after the object was dropped, the object was feet above the ground. This interpretation in the context of the problem. f, of, 4, equalsf(4)= , meaning that seconds after the object was dropped, the object was feet above the ground. This interpretation in the context of the problem. Based on the observations above, it is clear that an appropriate domain for the function is all real numbers. Integers whole numbers (0, 1, 2, ...). real numbers in a<x<b non-negative real numbers. real numbers in a≤x≤b integers in a≤x≤b positive integers (1, 2, 3, ...).
Solution
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Math Problem Analysis
Mathematical Concepts
Quadratic Functions
Physics of Falling Objects
Formulas
f(x) = -16x^2 + 144
Quadratic formula: ax^2 + bx + c = 0
Theorems
Quadratic Formula
Concept of Projectile Motion
Suitable Grade Level
Grades 9-11
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