Answer:
Tabled Function
Step-by-step explanation:
To determine which function is increasing the fastest over the interval [-5, 3], we need to calculate and compare each function's <u>average rate of change</u> over the given interval.
The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
Given interval: -5 ≤ x ≤ 3
Therefore, a = -5 and b = 3
<h3><u>Tabled function</u></h3>
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<h3><u>Equation: y = x² - 2</u> </h3>
<h3><u>Graphed function</u></h3>
From inspection of the graph:
Therefore, the Tabled Function has the <u>greatest average rate of change</u> in the interval [-5, 3] and so it is <u>increasing the fastest</u>.