Question

Identify the domain and range of the function graphed below

Answer 1

Part 1) The domain is

`x\leq 4`

All real numbers less than or equal to 4

Part 2) The range is

`y\geq 0`

All real numbers greater than or equal to 0

Explanation:

Part 1) Find the domain

Observing the graph

we know that

The domain is the interval for x ------> (-∞,4]

so

`x\leq 4`

All real numbers less than or equal to 4

Part 2) Find the range

Observing the graph

we know that

The range is the interval for y ------> [0,∞)

`y\geq 0`

All real numbers greater than or equal to 0