Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Concept explainers

Minimization
In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…
Maxima and Minima
The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.
Derivatives
A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …
Concavity
In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …
Question

For each lab, you must include an explanation of what you  did and how you did it. These must be typed and presented in an organized manner.

The average slope formula is: [f(x2) - f(x1)] / [x2 - x1]

 

F(x^2) -

It tells us the average slope over the interval from x1 to x2.

Take the average slope of the function y (x) = x^2 + 3x +1 over one-unit intervals from 0 to 5.

Graph the numbers (slopes), and what type of function do you see?

Now repeat the process for g(x) = x^3.

 take the slope of the slope and graph that for a hint.

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