Calculus is the mathematics that describes changes in functions. In this chapter, we review all the functions necessary to study calculus. We define polynomial, rational, trigonometric, exponential, and …

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In precalculus, you learned a formula for the position of the maximum or minimum of a quadratic equation 𝑦 = 𝑎 𝑥 2 + 𝑏 𝑥 + 𝑐, y = a x 2 + b x + c, which was ℎ = − 𝑏 (2 𝑎) h = b (2 a) Prove this formula using …

Toward the end of the twentieth century, the values of stocks of internet and technology companies rose dramatically. As a result, the Standard and Poor...