Question

How do you find the absolute max and min for `f(x) = 5 + 2x` on [-2,1]?

Answer 1

Typically you would take the derivative and solve for the zeros, but in this case, your graph is linear, so one side is the max, `(1,7)` and the other is the min, `(-2,1)`.

Explanation:

The above graph shows the plot of the function. I've highlighted the area between `-2` and `1`. Just by looking at the graph, you can see that the function is linear, and `x=1` is the clear max and `x=-2` the min.