[AP Calculus BC] 5.5 Linearization

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Sketch the graph of a function where:

1. The tangent line approximation at x=-1 is an UNDERestimate of function values near x=-1

AND

2. The tangent line approximation at x=4 is an OVERestimate of function values near x=4

Let ℎ be a differentiable function such that ℎ(4) = 3 and ℎ′(4) = -2. If the tangent line to ℎ(𝑥) at 𝑥 = 4 is used to approximate the zeros of ℎ(𝑥), then the approximation is equal to:

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