Question

problems 1 - 2: valeria and thiago disagree about the domain of ( f(x) ). valeria says the domain is ( -1.5 leq x leq 2 ). thiago says the domain is ( -4.375 leq x leq 3.5 ). 1. whose answer is correct? circle one. valerias thiagos 2. explain why the other persons answer is incorrect.

Explanation:

Step1: Recall the definition of domain

The domain of a function is the set of all possible input values (x - values) for which the function is defined.

Step2: Identify the x - values of the endpoints

Looking at the graph, the left - most point has an x - coordinate of \(x=-1.5\) and the right - most point has an x - coordinate of \(x = 2\).

Answer:

1. Valeria's
2. Thiago's answer is incorrect because the domain of a function is determined by the \(x\) - values of the endpoints of the graph. The left - most \(x\) - value is \(-1.5\) and the right - most \(x\) - value is \(2\). Thiago might have confused the \(y\) - value of the left - most point (\(-4.375\)) with an \(x\) - value and the \(x\) - value of the right - most point (\(2\)) with a \(y\) - value (\(3.5\)).