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12) determine the domain and range. a) domain: -7 ≤ x ≤ 7 range: -6 ≤ y…

Question

  1. determine the domain and range.

a) domain: -7 ≤ x ≤ 7
range: -6 ≤ y ≤ 7
b) domain: -3 ≤ x ≤ 6
range: -7 ≤ y ≤ 5
c) domain: -6 ≤ x ≤ 7
range: -7 ≤ y ≤ 7
d) domain: -4 ≤ x ≤ 7
range: -6 ≤ y ≤ 4

Explanation:

Step1: Identify domain

The domain is the set of all possible x - values. Looking at the graph, the left - most x - value is approximately $x=-4$ and the right - most x - value is approximately $x = 7$. So the domain is $-4\leq x\leq7$.

Step2: Identify range

The range is the set of all possible y - values. The lowest y - value is approximately $y=-6$ and the highest y - value is approximately $y = 4$. So the range is $-6\leq y\leq4$.

Answer:

D. Domain: $-4\leq x\leq7$, Range: $-6\leq y\leq4$