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Question: Assignment 1.3: Rates of Change and Behavior of Graphs Score: 4/27 3/11 answered Done 6 VO : Question 5 < > B0/1 pt 599 Details 1 Given f(x) find the average rate of change of f(x) on the interval 2 + 12 [10, 10+ h]. Your answer will be an expression involving h. Question Help: Video Submit Question Jump to Answer ction gra
Consider the given function,
f ( x ) = 1 x + 12
The average rate of change of a function f(x) over an interval [a, b] is...
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In this section, we will investigate changes in functions. For example, a rate of change relates a change in an output quantity to a change in an input quantity. The average rate of change is …
Section 1.3 Rates of Change and Behavior of Graphs. Since functions represent how an output quantity varies with an input quantity, it is natural to ask about the rate at which the values of …
A rate of change describes how the output quantity changes in relation to the input quantity. The units on a rate of change are output units per input units. Some other examples of rates of …
Solution. Here’s how to approach this question. First, substitute into the function to find . 1. g (x) = - 4x3 + 5 g (-1) = - 4 (-1)3 + 5 = 4 + 5 = 9 g (1) = - 4 (1)3 + 5 = - 4 + 5 = 1 Therefore, Average r … View the full answer. Previous question Next …
A function is decreasing on an interval if the function values decrease as the inputs Increase. More formally, a function IS decreasing iff(b) <f(a) for any two input values a and b in the …
Assignment 1.3: Rates of Change and Behavior of Graphs Score: 4/27 3/11 answered Done 6 VO : Question 5 < > B0/1 pt 599 Details 1 Given f(x) find the average rate of change of f(x) on the interval 2 + 12 [10, 10+ h].
Rates of change are crucial in understanding how functions behave. They help us analyze how quickly things change over time or in relation to other variables. This concept is …