Question

Find the Maximum/Minimum Value f(x)=3x²-18x-7.

a) Maximum: 10, Minimum: -47
b) Maximum: -7, Minimum: 18
c) Maximum: -47, Minimum: 10
d) Maximum: 18, Minimum: -7

Answer 1

The minimum value of the function f(x) = 3x² - 18x - 7 is -34.

Step-by-step explanation:

To find the maximum/minimum value of the function f(x) = 3x² - 18x - 7, we can use the vertex formula. This formula is given as x = -b / 2a. In our case, a = 3 and b = -18. Plugging these values into the formula, x = -(-18) / (2 * 3) = 18 / 6 = 3. Now, substituting this value of x back into the original function, we get f(3) = 3(3)² - 18(3) - 7 = 3(9) - 54 - 7 = 27 - 54 - 7 = -34. Therefore, the minimum value of f(x) is -34.