Question

Does the function `f(x)= 2x^2-4` have a minimum or maximum value?

Answer 1

Minimum value

Explanation:

Looking at the function, the leading coefficient (`x^2`) is positive so the function will open upward meaning that the function will have a minimum value.

You can also graph the function and determine whether there is a minimum or maximum value.

graph{2x^2-4 [-10, 10, -5, 5]}

As we can see, the graph opens upward and thus has a minimum value.