Mathematics, 14.12.2020 08:00 edjiejwi
Let g be a differentiable function such that g(3)=2 and g′(3)=−34. The graph of g is concave down on the interval (2,4). Which of the following is true about the approximation for g(2.6) found using the line tangent to the graph of g at x=3?
A: g(2.6)≈1.7 and this approximation is an overestimate of the value of g(2.6).
B: g(2.6)≈1.7 and this approximation is an underestimate of the value of g(2.6).
C: g(2.6)≈2.3 and this approximation is an overestimate of the value of g(2.6).
D: g(2.6)≈2.3 and this approximation is an underestimate of the value of g(2.6).
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