Question

4. Compare the function f(x) = –x^2 – 4x + 3 with the function g(x), graphed here. Which function has a greater absolute maximum?

Answer 1

f(x) has the greater absolute maximum

Explanation:

`f(x)=-x^2-4x+3 \\\\f'(x)=-2x-4=-2(x+2)`

so f'(x)=0 for x = -2 and f(-2)=-4+8+3=11-4=7

so f(x) has the greater absolute maximum

hope this helps