Answer:
Step-by-step explanation: so, To identify the extremum of the function f(x) = -x + 10x - 9, we need to find the maximum or minimum point on the graph of the function.
1. Start by rewriting the function in standard form:
f(x) = 9x - x - 9
2. Combine like terms:
f(x) = 9x - 9
3. To find the extremum, we need to look for the highest or lowest point on the graph. In this case, the graph is a straight line with a positive slope of 9. Since the slope is positive, the line will continue to increase as x increases. Therefore, there is no minimum point (lowest value) on the graph, but rather a maximum point (highest value).
4. The extremum occurs at the highest point on the line, which is at the end of the graph. Since the line continues to increase indefinitely, there is no maximum value for f(x).
In conclusion, the function f(x) = -x + 10x - 9 does not have an extremum as it continues to increase without bound.
I'm 15 yo that solved this I'm in frm 4