Asked by toan

Let f be a differentiable function such that f(4)=7 and f′(4)=15. The graph of f is concave up on the interval (3,5). Which of the following is true about the approximation for f(3.5) found using the line tangent to the graph of f at x=4 ?

Answers

Answered by oobleck
since f is concave up on (3,5)
f' is increasing on (3,5)
So, since the tangent line has constant slope, the graph of f will curve up away from the tangent line, making the estimate lower f(x) on the interval.
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