Preview Activity 5.2.1. Consider the function A defined by the rule A(x) = f* f(t) dt, where f(t) = 4 - 2t. a. Compute A(1) and A(2) exactly. b. Use the First Fundamental Theorem of Calculus to find a formula for A(x) that does not involve integrals. That is, use the first FTC to evaluate S₁ (4- 2t) dt. c. Observe that f is a linear function; what kind of function is A?

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