3. (4 points} Suppme x) is continuous and diiferentiable everywhere. If f'{u) = 0 and f"(I)

3. (4 points) Suppose is continuous and differentiable everywhere. If f'(a) O and f" (T) < O for all :r, then what can wc conclude about at x = a? Explain your answer using calculus terminology. 4. (4 points) Create a rational function that has a horizontal asymptote of y 4 and two vertical asymptotes of = 1 and .T = 3. You do not need to simplify thc denominator of your filnction.