Suppose that the only information we have about a function fis that f(1) = 3 and the graph of its derivative is as shown.y=f'(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.O 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.O 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.O 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.

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Asked Mar 3, 2020
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Suppose that the only information we have about a function fis that f(1) = 3 and the graph of its derivative is as shown.
y=f'(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.
O 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.
O 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.
O 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.
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Suppose that the only information we have about a function fis that f(1) = 3 and the graph of its derivative is as shown. y=f'(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. O 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. O 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. O 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.

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