Question

Which is the minimum or maximum value of the given function? a. The function has a minimum value of -2 b. The function has a minimum value of 1 c. Function has a maximum value of -2 d. The function has a maximum value of 1

Answer 1

Answer:

The function f(x) is not given, I used a different function but the approach and steps is the same .

Step-by-step explanation:

• Given the function f(x) = 2x2 - 8x + 5

compare with the normal quadratic equation ; ax2 + bx + c = f(x)

• a = 2, b = -8 and c = +5

• since a is greater than zero i.e a > o {positive}

As such, it has a minimum

hence for minimum value; x = -b/2a

x = -(-8)/2 x 2

x = 8/4 = 2

plugging the values of x in f(x) ; f(2) = 2(2)^2 -8(2) + 5

f(2) = -3, hence it has minimum value and the minimum value is -3