Exponential Functions

1. Maths Online Exponential Functions Why study graphs of exponential functions?

2. Maths Online Radioactive Decay • Radioactive substance is dangerous because it decays and emits harmful radiation • Radioactive substance will decay to half its mass over a period of time • This period of time is called the half-life of the radioactive substance

3. or Maths Online Radioactive Decay Amount left is given by y=y0e-t where decay constant =ln 2/half-life

4. Maths Online Moore’s Law • Dr. Gordan Moore is the co-founder of Intel • Moore’s Law was formulated in 1965 • No. of transistors in a silicon chip doubles every 2 years • 1965 - 240 transistors • Pentium 4 (2000) - 42 million transistors

5. or Maths Online Moore’s Law

6. Maths Online Moore’s Law • 1965 - 240 transistors • Pentium 4 (2000) - 42 million transistors • Moore’s Law: • 240 x 2 0.5 t = 240 x 217.5 = 44 millions

7. Maths Online Conclusion • We use exponential graphs whenever something increases or decreases by 2 (or any factor) over the sameintervals of time