4. Compare the function f(x) = –x^2 – 4x + 3 with the function g(x), graphed here. Which function has a greater absolute maximum?
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Answer:
f(x) has the greater absolute maximum
Step-by-step explanation:
[tex]f(x)=-x^2-4x+3 \\\\f'(x)=-2x-4=-2(x+2)[/tex]
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