Question

For the function f(x) = 2x + 12, what is the minimum value on the interval from the x = -14 to x = -6

Answer 1

The minimum of f(x) in the given interval is -16

How to find the minimum?

The minimum value is the slowest value that the function can take in the given interval.

Here the function is:

f(x) = 2x + 12

This is a linear function with a positive slope, so it is an increasing function.

This means taht the minimum will be at the smallest x-value in the given interval.

Here the interval is x = -14 to x= -6, the minimum x value there is x = -14, evaluating there the function we will get:

f(-14) = 2*-14 + 12 = -28 + 12 = -16

So the minimum is -16.