1. Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Show your work. Use the resulting ordered pairs to plot the graph. State the equation of the line asymptotic to the graph (if any).
y = 3x - 4
2. Evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 and 1, and at x=1. Show your work. Use the resulting ordered pairs to plot the graph. State the equation of the line asymptotic to the graph (if any). Show your work
y = log3.5 x
Solve the problem and show your work.
3. The number of dislocated electric impulses per cubic inch in a transformer increases when lightning strikes by D = 1900(2)x, where x is the time in milliseconds of the lightning strike. Find the number of dislocated impulses at x = 0 and x = 4
Solve and show your work.
4. How long will it take for the population of a certain country to triple if its annual growth rate is 2.8%? (Round off to the nearest year.) Use the exponential growth model P(t) = Po e^(kt).
This solution is comprised of detailed step-by-step calculation and explanation of the given problems. The solution also provides students with a clear perspective of the underlying mathematical concepts. Graphs and the respective Asymptotes have been provided for better understanding.