Answer:
Domain:
![All \ real\ numbers](https://img.qammunity.org/2022/formulas/mathematics/college/z40twi7ftzfetgvg40mcg1cel8lx7uy7mb.png)
Range:
![y\geq -5](https://img.qammunity.org/2022/formulas/mathematics/college/5owtdbwd3rb3b4o3q5hrll8jmzolmtgxl7.png)
Function:
![|x|-5=y](https://img.qammunity.org/2022/formulas/mathematics/college/litvc4yts7zeyddli2cqeapntybgqhc616.png)
Explanation:
The domain of this function is all real numbers, this is because any real number can be substituted into this function to produce a real output.
The range of this function is (
), this is because all outputs are greater than (-5), rather (-5) is the lowest output that one can have.
The function is
. As one can see, the function as the shape of an absolute value function, the v-shape composed of two (
) lines facing opposite directions. The graph has been shifted downwards by (5) units, one can see this because of the vertex formed by the two intersecting lines.