Posted: September 13th, 2017

Moore’s Law

In this assignment you will study an exponential function that is similar to Moore’s Law that was formulated by Dr. Gordon Moore, cofounder and Chairman Emeritus of Intel Corporation.
The following is a table representing the number of transistors in Intel CPU chips between the years 1971 and 2000:
Processor Transistor Count Year of Introduction
Intel 4004 2,300 1971
Intel 8085 6,500 1976
Intel 80286 134,000 1982
Intel 80486 1,180,235 1989
Pentium Pro 5,500,000 1995
Pentium 4 42,000,000 2000
Core 2 Duo ? 2006
Core 2 Duo and Quad Core + GPU Core i7 ? 2011

Ifx equals the number of years after 1971 (the year 1971 means x = 0), then these data can be mathematically modeled by the exponential function y = f(x) = 2,300(1.4x).
For each question, be sure to show all your work details for full credit.Round all value answers to three decimal places.
1. Showthe graph.

2. Show the calculation details.

3. Provide research values and apply critical thinking to answer this question.
4. Show the conversion details.
5. Discuss the function relationships.
6. Show the calculation details and apply critical thinking to answer this question.

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