Question

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 $-4.375 \leq x \leq 3.5$whose answer is correct?valerias thiagosexplain why thiagos answer is incorrect.because the domain is

Explanation:

The domain of a function is the set of all valid input (x) values for which the function is defined. For this graphed function, we look at the leftmost and rightmost x-values of the line segment. The left endpoint has an x-value of -1.5, and the right endpoint has an x-value of 2. Thiago incorrectly used the y-value of the right endpoint (3.5) and the y-value of the left endpoint (-4.375) as the bounds of the domain, but domain refers to x-values, not y-values.

for Thiago's error: Because the domain is the set of all x-values where the function exists, which is $-1.5 \leq x \leq 2$. Thiago incorrectly used the y-values of the endpoints instead of the x-values.

Answer:

Correct choice: Valeria's