Question

Find the the domain codomain and range of the graph

Answer 1

Domain: All Real numbers

CoDomain : All Real numbers

Range:
`\left\y\geq 0 \right\`; that is: Real numbers larger than or equal to zero

Explanation:

Notice that the graphed function can use any Real number x (from - infinity to + infinity) and produce an output. Therefore, the Domain of the function plotted in graph 3 is : All Real numbers.

The set of possible outputs (CoDomain) is also the set of all Real numbers (notice that the y-axis extends form - infinity to + infinity

But the Range (the actual set of the collection of outputs of the function) is just a subset of the CoDomain consisting of the Real numbers larger than or equal to zero (notice that the drawing of the function touches the x axis and lies completely on the upper half of the plane.