determine, without graphing,

Question

whether the given quadratic function has a maximum value or a minimum value and then find the value.

f(x) = 2x^2 +12x

Answer 1

Step 1:

The function  is .

Compare the function with general form of quadratic equation ,

Where , and .

If the function has , then function has maximum value at

If the function has , then function has minimum value at .

Since , the function has minimum value at .

The minimum value of function is .

.

The minimum value of function is .

Solution:

The minimum value of function is .