Question

finding the domain and range of a graph\

1. find domain and range for the graph below. write your answer in interval notation and in inequality.\

note: to type in the ≤ sign, type <=. for example, to write the domain -10,10 as an inequality: type -10 <= x <= 10\
(then there is a graph of a line segment on a coordinate plane, and a table with four cells: domain (interval notation), domain (inequality), range (interval notation), range (inequality), with some partial content in the range (inequality) cell showing -5 < y <= 4 or -5 < y <= 4)\
question help: ? video

Explanation:

Step1: Determine the Domain (x - values)

The graph starts at the leftmost point with \( x = -3 \) (since the left end is at \( x = -3 \)) and goes to \( x = 2 \) (the right end point). So the domain in interval notation is \( [-3, 2] \) and as an inequality, \( -3 \leq x \leq 2 \).

Step2: Determine the Range (y - values)

The lowest y - value on the graph is \( y=-5 \) (the bottom of the left end) and the highest y - value is \( y = 4 \) (the top of the right end). So the range in interval notation is \( [-5, 4] \) and as an inequality, \( -5 \leq y \leq 4 \).

Answer:

• Domain (interval notation): \( [-3, 2] \)
• Domain (inequality): \( -3 \leq x \leq 2 \)
• Range (interval notation): \( [-5, 4] \)
• Range (inequality): \( -5 \leq y \leq 4 \)