2. You have $500 to invest and have several options available to you.p a. Your banker shows you the graph at right to explain wh
at you can earn if you invest with him. Does this graph represent simple or compound interest? How can you tell? What is the interest rate? Write an equation to represent how much money you would have as time passes. Let x represent time in years.
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The graph shows solutions to be ...
(x, f(x)) = (x, g(x)) = (-2, 5), (2, -3)
_____
Analytically, it works well to find
g(x) -f(x) = 0
(x^2 -2x -3) -(-2x +1) = 0
x^2 -4 = 0
x^2 = 4
x = ±√4 = ±2
Then
f(-2) = -2(-2) +1 = 5
f(2) = -2(2) +1 = -3
(x, f(x)) = (x, g(x)) = (-2, 5), (2, -3)
_____
Analytically, it works well to find
g(x) -f(x) = 0
(x^2 -2x -3) -(-2x +1) = 0
x^2 -4 = 0
x^2 = 4
x = ±√4 = ±2
Then
f(-2) = -2(-2) +1 = 5
f(2) = -2(2) +1 = -3