Question

How do i find the Domain and Range in Inequality form​

Answer 1

Domain is the set of all x values, the independent quantity, for which the function f(x) exists or is defined.

Explanation:

i just graphed it

Answer 2

Domain:

`x\in\mathbb{R}`

Range:

`y\geq -5`

Explanation:

The domain is the span of x-values covered by the graph, and the range is the span of y-values covered by the graph.

From the graph, we can see that the x-values covered by the graph will extend infinitely in both directions. Therefore, the domain of the graph is all real numbers.

We can't write this as an inequality, but we can write:

`x\in\mathbb{R}`

For the range, we can see from the graph that the lowest y-value is y=-5. The graph doesn't go any lower than that. However, the graph will also cover all values greater than -5. Therefore, the range of the graph is all values greater than or equal to -5. In an inequality, this is:

`y\geq -5`