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Description
Functions and GraphsThe second in a series of systematic studies by a celebrated mathematician I. M. Gelfand and colleagues, this volume presents students with a well illustrated sequence of problems and exercises designed to illuminate the properties of functions and graphs. Since readers do not have the benefit of a blackboard on which a teacher constructs a graph, the authors abandoned the customary use of diagrams in which only the final form of the graph appears;
The second in a series of systematic studies by a celebrated mathematician I. M. Gelfand and colleagues, this volume presents students with a well-illustrated sequence of problems and exercises designed to illuminate the properties of functions and graphs. Since readers do not have the benefit of a blackboard on which a teacher constructs a graph, the authors abandoned the customary use of diagrams in which only the final form of the graph appears; instead, the book's margins feature step-by-step diagrams for the complete construction of each graph. The first part of the book employs simple functions to analyze the fundamental methods of constructing graphs. The second half deals with more complicated and refined questions concerning linear functions, quadratic trinomials, linear fractional functions, power functions, and rational functions.Binding Type: Paperback
Publisher: Dover Publications
Published: 10/16/2002
ISBN: 9780486425641
Pages: 112
Weight: 0.35lbs
Size: 7.98h x 6.84w x 0.30d
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★★★★★ 5
Definitely worth the price
Size: 6.5, Color: Black/Black
Absolutely love these boots! I originally bought them to wear in NYC in December & they did not disappoint. They were comfortable, cute, durable and worked well in the slush/snow. The traction on the bottom is also nice! They kept me warm with wool socks. I wear them almost daily now. Perfect for everyday. easy to wear with variety of outfits. Good every day shoe.
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Reviewed in the United States on January 3, 2026
★★★★★ 5
Snagged a deal
Size: 7, Color: Redwood/Gum 10
I waited and waited to get these boots! I knew I was chancing it, but they went on sale, and I snagged them! I am a size 7, and they fit nicely with socks. a little loose, barefooted, but what psycho wears boots without socks? They are comfortable and really well-made.
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Reviewed in the United States on April 8, 2026
★★★★★ 4
Cute, comfortable waterproof boots (a little snug to put on)
Size: 7, Color: Velvet Tan/Gum 2
These are really cute Chelsea-style boots and feel very comfortable once they’re on. The waterproof material is great for wet weather and the sole feels sturdy with good traction. They look stylish enough to wear casually but still feel practical for rainy days.
The only downside is they can be a little difficult to put on at first because the opening is somewhat snug, but once they’re on they fit well and feel supportive. Overall they’re a great waterproof boot and I’ve enjoyed wearing them.
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Reviewed in the United States on March 17, 2026
★★★★★ 5
Surprisingly great for my wide feet and high instep!
Size: 10.5, Color: Velvet Tan/Gum 2
So thrilled I took a chance on these. Finding boots is impossible for me. I have wide feet, a super high instep, a bunion on one foot, and I wear a hard to find size (10.5). I ordered the 10.5 and 11 in these expecting I might need to size up for width (if I could even get them on). It was a struggle getting the 10.5s on the first time, and once I did they were somewhat uncomfortable on the top of my left foot. But I read that they would relax so decided to give it a go because I need waterproof boots for an upcoming trip and the 11s felt too long. After two days of light wear, they are already breaking in and I have no more discomfort. Getting them on is already easier and they are plenty wide enough and very comfortable to walk in. These are true to size. Super happy and worth a day of mild discomfort to break them in!
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Reviewed in the United States on March 7, 2026
★★★★★ 5
Comfortable, sturdy, waterproof
Size: 9.5, Color: Black/Black
Loce, love, love these boots. Have walked ten miles with no foot pain around NYC. They go with everything and and are so comfortable. As they are waterproof/resistant, they get a little warm in high temps, but perfect three-season boots.
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Reviewed in the United States on May 17, 2026