Question

domain and range
□ i know the definition of domain and range and can identify it from a given function.
35.)
domain:
range:
36.)
domain:
range:
37.)
domain:
range:
{(3,9),(4,18),(5,27),(6,36)}
38.)
domain:
range:

Explanation:

Problem 35 (Graph)

Step1: Identify Domain (x - values)

The graph is a line segment with endpoints at \( x = -8 \) (closed dot) and \( x = 6 \) (closed dot). So domain is all \( x \) from -8 to 6, inclusive.

Step2: Identify Range (y - values)

The lowest y - value is at \( x = -8 \), \( y = -4 \) (closed dot), and the highest at \( x = 6 \), \( y = 1 \) (closed dot). So range is all \( y \) from -4 to 1, inclusive.

Step1: Identify Domain (x - values)

The graph starts at \( x = -6 \) (closed dot) and ends at \( x = 8 \) (closed dot), with all x - values in between. So domain is \( -6 \leq x \leq 8 \).

Step2: Identify Range (y - values)

The lowest y - value is -3 (at the vertex), and the highest is 4 (at the peak). So range is \( -3 \leq y \leq 4 \).

Step1: Identify Domain (x - values)

Domain is the set of all x - values in the table: \( -5, -4, 2, 4, 7 \).

Step2: Identify Range (y - values)

Range is the set of all y - values in the table: \( -3, 7, 0, -5, 3 \).

Answer:

Domain: \( -8 \leq x \leq 6 \) (or \( [-8, 6] \))
Range: \( -4 \leq y \leq 1 \) (or \( [-4, 1] \))

Problem 36 (Graph)