1. a. Describe a specific real world scenario where an average rate of change can be positive? [1] b. Describe a specific real world scenario where an instantaneous rate of change can be negative? [1] 2. Given $f(x) = \sqrt{x-1}$, $g(x) = 3^{-x}$, $h(x) = \sin x$, $m(x) = \log[-(x-4)]$ and $p(x) = \frac{1}{x+1}$ [8] The equation in fully simplified form $f(x) + g(x)$ $m(x) - g(x)$ $(f\circ m)(x)$ $h(x) + p(x)$ 2 Domain
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Suppose the car starts at point A and travels to point B in a given time interval. The average rate of change of the car's position with respect to time would be positive if the car is moving in the positive direction (e.g., from left to right) and covering a Show more…
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1. What mathematical tool allows us to move from the average rate of change of a function to its instantaneous rate of change? 2. What do we call a function's instantaneous rate of change? 3. What real world quantities are related to each other as a measure of instant rate of change?
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