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Homework 13 The graph below is a close up look at only the first two quadrants of a normal Cartesian graph. The objective is for you to graph the functions precisely and then identify patterns and draw a graph of the fourth function without using a table of values. 1. Use a table of values to make a precise graph of the functions: a. f(x) = 2x b. g(x) = 3x c. h(x) = 4x d. Look for patterns in the lines, then estimate where the line k(x) = 5x should be drawn. x 1 2. The function f ( x) 2 is plotted on the graph below. Use the graph to solve 3 the following problems. x 1 a. 2 1 3 x= x 1 b. 2 1 3 x= x 1 c. 2 4 3 x≈ x 1 d. 2 1.25 x ≈ 3 3. For the function f(x) = 6x, find x if f(x) = 36. 4. For the function f(x) = 2x, find x if f(x) = 32 5. An investor puts $1000 into an account that pays 3.5% interest, compounded monthly. How much will be in the account after 5 years? 6. How much money must be invested at 4% interest, compounded quarterly, so that the account will be worth $10,000 in 6 years? 7. Use the growth factor portion of the compound interest formula to show why a 100% return on your investment corresponds with your money doubling and a 200% return on your investment corresponds to your money tripling. If your business is now worth 4 times what it was worth a year ago, by what percent did it grow? 8. An investor puts $2000 into an account that pays 2.3% interest, compounded daily. How much will be in the account after 3 years? 9. f(x) = x2 - 2x + 3 x f(x) 10. y x 2 x4 3 f(x) Family ________________ Family ___________________ y - intercept_________________ Domain_________________ x - intercepts____________ Range__________________