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Please show all work details with answers, insert the graph, and provide answers to all the critical thinking questions on this form for the Unit 5 IP assignment.

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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