Question:

Suppose that the only information we have about a function f

Last updated: 10/16/2023

Suppose that the only information we have about a function f

Suppose that the only information we have about a function f is that f 1 7 and the graph of its derivative is as shown fo 2 2 3 x a Use a linear approximation to estimate f 0 9 and f 1 1 f 0 9 f 1 1 b Are your estimates in part a too large or too small Explain The slopes of the tangent lines are positive but the tangents are becoming less steep So the tangent lines lie above the curve f Thus the estimates are too small The slopes of the tangent lines are negative but the tangents are becoming steeper So the tangent lines lie below the curve f Thus the estimates are too small The slopes of the tangent lines are negative but the tangents are becoming steeper So the tangent lines lie below the curve f Thus the estimates are too large The slopes of the tangent lines are positive but the tangents are becoming less steep So the tangent lines lie above the curve f Thus the estimates are too large