Question

Answer the questions below about the quadratic function.g(x)=2x^2-16x+31Does the function have a minimum or maximum?what's the functions minimum or maximum value?Where does the minimum or maximum value occur?

Answer 1

To solve this problem is useful to look at the graph of the function and identify if there is a maximum or minimum point.

The function is:

`g(x)=2x^2-16x+31`

The graph of this function we can find it using any graphing software and looks as follows:

As we can see, the function has a minimum, because there is a lower point in the graph.

Does the function have a minimum or maximum? Answer: Minimum.

To find the function minimum value, we consider the black point shown in the graph (the minimum point) it is at:

`(4,-1)`

-1 is the function's minimum value, and x=4 is where the minimum value occurs. So we can solve the next two questions:

what's the functions minimum or maximum value? Answer: -1

Where does the minimum or maximum value occur?​ Answer: 4