Question: Consider the function and its graph shown below. Let a. Evaluate F(-2) and F(2). b. Use the Fundamental Theorem to find an expression for F'(x),

Consider the function

if -2 <t < 0 f(t) = if 0<t< 2 2


and its graph shown below.

УА 1 (y = f(t) + -2 2 t -1 -2


Let

if -2


a. Evaluate F(-2) and F(2).

b. Use the Fundamental Theorem to find an expression for F'(x), for -2 ≤ x

c. Use the Fundamental Theorem to find an expression for F'(x), for 0 ≤ x ≤ 2.

d. Evaluate F'(-1) and F'(1). Interpret these values.

e. Evaluate F"(-1) and F"(1).

f. Find a constant C such that F(x) = G(x) + C.

if -2

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