Question

Consider f(x) = –4x2 + 24x + 3. Determine whether the function has a maximum or minimum value. Then find the value of the maximum or minimum. 1) maximum; 32) minimum; 33) maximum; 394) minimum; 39

Answer 1

Given the function:

$f(x)=-4x^2+24x+3$

The leading coefficient of the function is negative

So, the function has a maximum value

the graph of the function will be as shown in the following figure:

As shown the maximum value of the function = 39

So, the answer will be option 3) maximum; 39