Intermediate Algebra
Intermediate Algebra
10th Edition
ISBN: 9781305191495
Author: Jerome E. Kaufmann; Karen L. Schwitters
Publisher: Cengage Learning US
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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 …
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Chapter 7.5, Problem 65PS
To determine

(a)

To graph:

The equation y=−2x2 by using graphic calculator for boundary −15≤x≤15, and −10≤y≤10

To determine

(b)

To graph:

The equation y=−2x2 by using graphic calculator for boundary −5≤x≤5, and −10≤y≤10.

To determine

(c)

To graph:

The equation y=−2x2 by using graphic calculator for boundary −5≤x≤5, and −10≤y≤1.

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Chapter 7 Solutions

Intermediate Algebra

Ch. 7.1 - For Problems 1-10, answer true or false. In a...Ch. 7.1 - For Problems 110, answer true or false. Quadrants...Ch. 7.1 - For Problems 110, answer true or false. The real...Ch. 7.1 - Prob. 4CQCh. 7.1 - Prob. 5CQCh. 7.1 - For Problems 1-10, answer true or false. Graph of...Ch. 7.1 - Prob. 7CQCh. 7.1 - Prob. 8CQCh. 7.1 - Prob. 9CQCh. 7.1 - Prob. 10CQ
Ch. 7.1 - Prob. 1PSCh. 7.1 - Prob. 2PSCh. 7.1 - Prob. 3PSCh. 7.1 - Prob. 4PSCh. 7.1 - Prob. 5PSCh. 7.1 - Prob. 6PSCh. 7.1 - Prob. 7PSCh. 7.1 - Prob. 8PSCh. 7.1 - Prob. 9PSCh. 7.1 - Prob. 10PSCh. 7.1 - For Problems 928, graph each of the linear...Ch. 7.1 - Prob. 12PSCh. 7.1 - Prob. 13PSCh. 7.1 - Prob. 14PSCh. 7.1 - Prob. 15PSCh. 7.1 - Prob. 16PSCh. 7.1 - Prob. 17PSCh. 7.1 - Prob. 18PSCh. 7.1 - Prob. 19PSCh. 7.1 - Prob. 20PSCh. 7.1 - Prob. 21PSCh. 7.1 - Prob. 22PSCh. 7.1 - Prob. 23PSCh. 7.1 - Prob. 24PSCh. 7.1 - Prob. 25PSCh. 7.1 - Prob. 26PSCh. 7.1 - Prob. 27PSCh. 7.1 - Prob. 28PSCh. 7.1 - Prob. 29PSCh. 7.1 - Prob. 30PSCh. 7.1 - Prob. 31PSCh. 7.1 - Prob. 32PSCh. 7.1 - Prob. 33PSCh. 7.1 - Prob. 34PSCh. 7.1 - Prob. 35PSCh. 7.1 - Prob. 36PSCh. 7.1 - Prob. 37PSCh. 7.1 - Prob. 38PSCh. 7.1 - Prob. 39PSCh. 7.1 - Prob. 40PSCh. 7.1 - Prob. 41PSCh. 7.1 - Prob. 42PSCh. 7.1 - Prob. 43PSCh. 7.1 - Prob. 44PSCh. 7.1 - Prob. 45PSCh. 7.1 - Prob. 46PSCh. 7.1 - Prob. 47PSCh. 7.1 - Prob. 48PSCh. 7.1 - Prob. 49PSCh. 7.1 - Prob. 50PSCh. 7.1 - Prob. 51PSCh. 7.1 - Prob. 52PSCh. 7.1 - Prob. 53PSCh. 7.1 - Prob. 54PSCh. 7.1 - Prob. 55PSCh. 7.1 - Prob. 56PSCh. 7.1 - Prob. 57PSCh. 7.1 - Prob. 58PSCh. 7.1 - Now lets use a graphing calculator to get a graph...Ch. 7.1 - Prob. 60PSCh. 7.2 - Prob. 1CQCh. 7.2 - Prob. 2CQCh. 7.2 - Prob. 3CQCh. 7.2 - Prob. 4CQCh. 7.2 - Prob. 5CQCh. 7.2 - Prob. 6CQCh. 7.2 - Prob. 7CQCh. 7.2 - Prob. 8CQCh. 7.2 - Prob. 9CQCh. 7.2 - Prob. 10CQCh. 7.2 - Prob. 1PSCh. 7.2 - Prob. 2PSCh. 7.2 - Prob. 3PSCh. 7.2 - Prob. 4PSCh. 7.2 - Prob. 5PSCh. 7.2 - Prob. 6PSCh. 7.2 - Prob. 7PSCh. 7.2 - Prob. 8PSCh. 7.2 - Prob. 9PSCh. 7.2 - Prob. 10PSCh. 7.2 - Prob. 11PSCh. 7.2 - Prob. 12PSCh. 7.2 - Prob. 13PSCh. 7.2 - Prob. 14PSCh. 7.2 - Prob. 15PSCh. 7.2 - Prob. 16PSCh. 7.2 - Prob. 17PSCh. 7.2 - Prob. 18PSCh. 7.2 - Prob. 19PSCh. 7.2 - Prob. 20PSCh. 7.2 - Prob. 21PSCh. 7.2 - Prob. 22PSCh. 7.2 - Prob. 23PSCh. 7.2 - Prob. 24PSCh. 7.2 - Prob. 25PSCh. 7.2 - For Problems 130, graph each of the inequalities....Ch. 7.2 - Prob. 27PSCh. 7.2 - Prob. 28PSCh. 7.2 - Prob. 29PSCh. 7.2 - Prob. 30PSCh. 7.2 - Prob. 31PSCh. 7.2 - Prob. 32PSCh. 7.2 - Prob. 33PSCh. 7.2 - Prob. 34PSCh. 7.2 - Prob. 35PSCh. 7.2 - Prob. 36PSCh. 7.2 - Prob. 37.1PSCh. 7.2 - Prob. 37.2PSCh. 7.2 - Prob. 37.3PSCh. 7.2 - Prob. 38PSCh. 7.2 - Prob. 39.1PSCh. 7.2 - Prob. 39.2PSCh. 7.2 - Prob. 39.3PSCh. 7.2 - Prob. 39.4PSCh. 7.3 - For Problems 110, answer true or false. hen...Ch. 7.3 - Prob. 2CQCh. 7.3 - Prob. 3CQCh. 7.3 - Prob. 4CQCh. 7.3 - Prob. 5CQCh. 7.3 - Prob. 6CQCh. 7.3 - Prob. 7CQCh. 7.3 - Prob. 8CQCh. 7.3 - Prob. 9CQCh. 7.3 - Prob. 10CQCh. 7.3 - Prob. 1PSCh. 7.3 - Prob. 2PSCh. 7.3 - Prob. 3PSCh. 7.3 - Prob. 4PSCh. 7.3 - Prob. 5PSCh. 7.3 - Prob. 6PSCh. 7.3 - Prob. 7PSCh. 7.3 - Prob. 8PSCh. 7.3 - Prob. 9PSCh. 7.3 - Prob. 10PSCh. 7.3 - Prob. 11PSCh. 7.3 - Prob. 12PSCh. 7.3 - Prob. 13PSCh. 7.3 - Prob. 14PSCh. 7.3 - Prob. 15PSCh. 7.3 - Prob. 16PSCh. 7.3 - Prob. 17PSCh. 7.3 - Prob. 18PSCh. 7.3 - Prob. 19PSCh. 7.3 - Prob. 20PSCh. 7.3 - Prob. 21PSCh. 7.3 - Prob. 22PSCh. 7.3 - Prob. 23PSCh. 7.3 - Prob. 24PSCh. 7.3 - Prob. 25PSCh. 7.3 - Prob. 26PSCh. 7.3 - Prob. 27PSCh. 7.3 - Prob. 28PSCh. 7.3 - Prob. 29PSCh. 7.3 - Prob. 30PSCh. 7.3 - Prob. 31PSCh. 7.3 - Prob. 32PSCh. 7.3 - Prob. 33PSCh. 7.3 - Prob. 34PSCh. 7.3 - Prob. 35PSCh. 7.3 - Prob. 36PSCh. 7.3 - For Problems 33-40, you are given one point on a...Ch. 7.3 - Prob. 38PSCh. 7.3 - Prob. 39PSCh. 7.3 - Prob. 40PSCh. 7.3 - Prob. 41PSCh. 7.3 - Prob. 42PSCh. 7.3 - Prob. 43PSCh. 7.3 - Prob. 44PSCh. 7.3 - Prob. 45PSCh. 7.3 - Prob. 46PSCh. 7.3 - Prob. 47PSCh. 7.3 - Prob. 48PSCh. 7.3 - Prob. 49PSCh. 7.3 - Prob. 50PSCh. 7.3 - Prob. 51PSCh. 7.3 - Prob. 52PSCh. 7.3 - Prob. 53PSCh. 7.3 - Prob. 54PSCh. 7.3 - Prob. 55PSCh. 7.3 - Prob. 56PSCh. 7.3 - Prob. 57PSCh. 7.3 - Prob. 58PSCh. 7.3 - Prob. 59PSCh. 7.3 - Prob. 60PSCh. 7.3 - Prob. 61PSCh. 7.3 - Prob. 62PSCh. 7.3 - Prob. 63PSCh. 7.3 - Prob. 64PSCh. 7.3 - Prob. 65PSCh. 7.3 - If one line has a slope of 25, and another line...Ch. 7.3 - Prob. 67PSCh. 7.3 - Prob. 68PSCh. 7.3 - Prob. 69PSCh. 7.3 - Prob. 70PSCh. 7.3 - Prob. 71PSCh. 7.3 - Prob. 72PSCh. 7.4 - Prob. 1CQCh. 7.4 - Prob. 2CQCh. 7.4 - Prob. 3CQCh. 7.4 - Prob. 4CQCh. 7.4 - For Problems 110, answer true or false. In the...Ch. 7.4 - Prob. 6CQCh. 7.4 - Prob. 7CQCh. 7.4 - Prob. 8CQCh. 7.4 - Prob. 9CQCh. 7.4 - Prob. 10CQCh. 7.4 - Prob. 1PSCh. 7.4 - Prob. 2PSCh. 7.4 - Prob. 3PSCh. 7.4 - Prob. 4PSCh. 7.4 - Prob. 5PSCh. 7.4 - Prob. 6PSCh. 7.4 - Prob. 7PSCh. 7.4 - Prob. 8PSCh. 7.4 - Prob. 9PSCh. 7.4 - Prob. 10PSCh. 7.4 - Prob. 11PSCh. 7.4 - Prob. 12PSCh. 7.4 - Prob. 13PSCh. 7.4 - Prob. 14PSCh. 7.4 - Prob. 15PSCh. 7.4 - Prob. 16PSCh. 7.4 - Prob. 17PSCh. 7.4 - Prob. 18PSCh. 7.4 - Prob. 19PSCh. 7.4 - Prob. 20PSCh. 7.4 - Prob. 21PSCh. 7.4 - Prob. 22PSCh. 7.4 - Prob. 23PSCh. 7.4 - Prob. 24PSCh. 7.4 - Prob. 25PSCh. 7.4 - Prob. 26PSCh. 7.4 - Prob. 27PSCh. 7.4 - Prob. 28PSCh. 7.4 - Prob. 29PSCh. 7.4 - Prob. 30PSCh. 7.4 - For Problems 2532, write the equation of the line...Ch. 7.4 - Prob. 32PSCh. 7.4 - Prob. 33PSCh. 7.4 - Prob. 34PSCh. 7.4 - Prob. 35PSCh. 7.4 - Prob. 36PSCh. 7.4 - Prob. 37PSCh. 7.4 - Prob. 38PSCh. 7.4 - Prob. 39PSCh. 7.4 - Prob. 40PSCh. 7.4 - Prob. 41PSCh. 7.4 - Prob. 42PSCh. 7.4 - Prob. 43PSCh. 7.4 - Prob. 44PSCh. 7.4 - Prob. 45PSCh. 7.4 - Prob. 46PSCh. 7.4 - Prob. 47PSCh. 7.4 - Prob. 48PSCh. 7.4 - Prob. 49PSCh. 7.4 - Prob. 50PSCh. 7.4 - Prob. 51PSCh. 7.4 - For Problems 4954, change the equation to...Ch. 7.4 - Prob. 53PSCh. 7.4 - Prob. 54PSCh. 7.4 - Prob. 55PSCh. 7.4 - Prob. 56PSCh. 7.4 - Prob. 57PSCh. 7.4 - Prob. 58PSCh. 7.4 - Prob. 59PSCh. 7.4 - Prob. 60PSCh. 7.4 - Prob. 61PSCh. 7.4 - Prob. 62PSCh. 7.4 - Prob. 63PSCh. 7.4 - Prob. 64PSCh. 7.4 - Prob. 65PSCh. 7.4 - Prob. 66PSCh. 7.4 - Prob. 67PSCh. 7.4 - Prob. 68PSCh. 7.4 - Prob. 69PSCh. 7.4 - Prob. 70PSCh. 7.4 - Prob. 71PSCh. 7.4 - Prob. 72PSCh. 7.4 - Prob. 73PSCh. 7.4 - Prob. 74PSCh. 7.4 - Prob. 75PSCh. 7.4 - Prob. 76PSCh. 7.4 - Prob. 77PSCh. 7.4 - Prob. 78PSCh. 7.4 - Prob. 79PSCh. 7.4 - Prob. 80PSCh. 7.4 - Prob. 81PSCh. 7.4 - Prob. 82PSCh. 7.4 - Prob. 83PSCh. 7.4 - The properties in Problem 83 provide us with...Ch. 7.4 - Prob. 85PSCh. 7.4 - Prob. 86PSCh. 7.5 - Prob. 1CQCh. 7.5 - For Problems 110, answer true or false. If a graph...Ch. 7.5 - Prob. 3CQCh. 7.5 - Prob. 4CQCh. 7.5 - Prob. 5CQCh. 7.5 - Prob. 6CQCh. 7.5 - Prob. 7CQCh. 7.5 - Prob. 8CQCh. 7.5 - For Problems 110, answer true or false. The graph...Ch. 7.5 - Prob. 10CQCh. 7.5 - Prob. 1PSCh. 7.5 - Prob. 2PSCh. 7.5 - Prob. 3PSCh. 7.5 - Prob. 4PSCh. 7.5 - Prob. 5PSCh. 7.5 - Prob. 6PSCh. 7.5 - Prob. 7PSCh. 7.5 - Prob. 8PSCh. 7.5 - Prob. 9PSCh. 7.5 - Prob. 10PSCh. 7.5 - Prob. 11PSCh. 7.5 - Prob. 12PSCh. 7.5 - Prob. 13PSCh. 7.5 - Prob. 14PSCh. 7.5 - Prob. 15PSCh. 7.5 - Prob. 16PSCh. 7.5 - Prob. 17PSCh. 7.5 - Prob. 18PSCh. 7.5 - Prob. 19PSCh. 7.5 - Prob. 20PSCh. 7.5 - Prob. 21PSCh. 7.5 - Prob. 22PSCh. 7.5 - Prob. 23PSCh. 7.5 - Prob. 24PSCh. 7.5 - Prob. 25PSCh. 7.5 - Prob. 26PSCh. 7.5 - Prob. 27PSCh. 7.5 - Prob. 28PSCh. 7.5 - Prob. 29PSCh. 7.5 - Prob. 30PSCh. 7.5 - Prob. 31PSCh. 7.5 - Prob. 32PSCh. 7.5 - Prob. 33PSCh. 7.5 - Prob. 34PSCh. 7.5 - Prob. 35PSCh. 7.5 - Prob. 36PSCh. 7.5 - Prob. 37PSCh. 7.5 - Prob. 38PSCh. 7.5 - Prob. 39PSCh. 7.5 - Prob. 40PSCh. 7.5 - Prob. 41PSCh. 7.5 - Prob. 42PSCh. 7.5 - Prob. 43PSCh. 7.5 - Prob. 44PSCh. 7.5 - Prob. 45PSCh. 7.5 - Prob. 46PSCh. 7.5 - Prob. 47PSCh. 7.5 - Prob. 48PSCh. 7.5 - Prob. 49PSCh. 7.5 - Prob. 50PSCh. 7.5 - Prob. 51PSCh. 7.5 - Prob. 52PSCh. 7.5 - Prob. 53PSCh. 7.5 - Prob. 54PSCh. 7.5 - Prob. 55PSCh. 7.5 - Prob. 56PSCh. 7.5 - Prob. 57PSCh. 7.5 - Prob. 58PSCh. 7.5 - Prob. 59PSCh. 7.5 - Prob. 60PSCh. 7.5 - Prob. 61PSCh. 7.5 - Prob. 62PSCh. 7.5 - Is a graph symmetric with respect to both axes if...Ch. 7.5 - Prob. 64PSCh. 7.5 - Prob. 65PSCh. 7.5 - Prob. 66PSCh. 7.5 - Prob. 67PSCh. 7.5 - Prob. 68PSCh. 7.5 - Prob. 69PSCh. 7.S - Prob. 1SCh. 7.S - Prob. 2SCh. 7.S - Prob. 3SCh. 7.S - Prob. 4SCh. 7.S - Prob. 5SCh. 7.S - Prob. 6SCh. 7.S - Prob. 7SCh. 7.S - Prob. 8SCh. 7.S - Prob. 9SCh. 7.S - Prob. 10SCh. 7.S - Prob. 11SCh. 7.S - Prob. 12SCh. 7.S - Prob. 13SCh. 7.S - Prob. 14SCh. 7.S - Prob. 15SCh. 7.S - Prob. 16SCh. 7.CR - Prob. 1CRCh. 7.CR - Prob. 2CRCh. 7.CR - Prob. 3CRCh. 7.CR - Prob. 4CRCh. 7.CR - Prob. 5CRCh. 7.CR - Prob. 6CRCh. 7.CR - Prob. 7CRCh. 7.CR - Prob. 8CRCh. 7.CR - Prob. 9CRCh. 7.CR - Prob. 10CRCh. 7.CR - Prob. 11CRCh. 7.CR - Prob. 12CRCh. 7.CR - Prob. 13CRCh. 7.CR - Prob. 14CRCh. 7.CR - Prob. 15CRCh. 7.CR - Prob. 16CRCh. 7.CR - Prob. 17CRCh. 7.CR - Prob. 18CRCh. 7.CR - Prob. 19CRCh. 7.CR - Prob. 20CRCh. 7.CR - Prob. 21CRCh. 7.CR - Prob. 22CRCh. 7.CR - Prob. 23CRCh. 7.CR - Prob. 24CRCh. 7.CR - Prob. 25CRCh. 7.CR - Prob. 26CRCh. 7.CR - Prob. 27CRCh. 7.CR - Prob. 28CRCh. 7.CR - Prob. 29CRCh. 7.CR - Prob. 30CRCh. 7.CR - Prob. 31CRCh. 7.CR - Prob. 32CRCh. 7.CR - Prob. 33CRCh. 7.CR - Prob. 34CRCh. 7.CR - Prob. 35CRCh. 7.CR - Prob. 36CRCh. 7.CR - Prob. 37CRCh. 7.CR - Prob. 38CRCh. 7.CR - Prob. 39CRCh. 7.CR - Prob. 40CRCh. 7.CR - Prob. 41CRCh. 7.CR - Prob. 42CRCh. 7.CR - Prob. 43CRCh. 7.CR - Prob. 44CRCh. 7.CR - Prob. 45CRCh. 7.CR - Prob. 46CRCh. 7.CR - Prob. 47CRCh. 7.CR - Prob. 48CRCh. 7.CR - Prob. 49CRCh. 7.CR - Prob. 50CRCh. 7.CR - Prob. 51CRCh. 7.CR - Prob. 52CRCh. 7.CR - Prob. 53CRCh. 7.CR - Prob. 54CRCh. 7.CR - Prob. 55CRCh. 7.CR - Prob. 56CRCh. 7.CR - Prob. 57CRCh. 7.CR - Prob. 58CRCh. 7.CR - Prob. 59CRCh. 7.CR - Prob. 60CRCh. 7.CR - Prob. 61CRCh. 7.CR - The taxes for a primary residence can be described...Ch. 7.CR - Prob. 63CRCh. 7.CR - Prob. 64CRCh. 7.CR - The time needed to install computer cables has a...Ch. 7.CR - Determine the types of symmetry symmetry with...Ch. 7.CR - For Problems 6772, graph each equation. y=x3+2Ch. 7.CR - For Problems 6772, graph each equation. y=x3Ch. 7.CR - Prob. 69CRCh. 7.CR - Prob. 70CRCh. 7.CR - Prob. 71CRCh. 7.CR - Prob. 72CRCh. 7.CT - Prob. 1CTCh. 7.CT - Prob. 2CTCh. 7.CT - Prob. 3CTCh. 7.CT - Prob. 4CTCh. 7.CT - Prob. 5CTCh. 7.CT - Prob. 6CTCh. 7.CT - Prob. 7CTCh. 7.CT - Prob. 8CTCh. 7.CT - Prob. 9CTCh. 7.CT - Prob. 10CTCh. 7.CT - Prob. 11CTCh. 7.CT - Prob. 12CTCh. 7.CT - Prob. 13CTCh. 7.CT - Prob. 14CTCh. 7.CT - Prob. 15CTCh. 7.CT - Prob. 16CTCh. 7.CT - Prob. 17CTCh. 7.CT - Prob. 18CTCh. 7.CT - Prob. 19CTCh. 7.CT - Prob. 20CTCh. 7.CT - Prob. 21CTCh. 7.CT - Prob. 22CTCh. 7.CT - For Problems 1823, graph each equation. y=14x14Ch. 7.CT - Prob. 24CTCh. 7.CT - For Problem 24 and 25, graph each inequality....
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