Question

This is a graph of
`y = {x}^(2) - 2x - 8`What is the range of this function?These are four possible awnsers All real numbers
`y \leqslant - 9`
`y \geqslant - 9`
`x \geqslant 1`

Answer 1

We want to find the range of the given function. To do so, by using the graph, we want to identify the range.

REcall that the range of a function, given its graph, is the set of values that we can see on the y axis.

From the graph, we can see that it takes all possible values on the y axis but not under -9. We can confirm that as there is no part of the graph that goes under -9.

This means that the range of the function is all real number that are greater or equal to -9. Or written in terms of y as

`y\ge\text{ -9}`