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Q8 Identify the key features of the graph below. Identify the y-intercept, the rate of decay/growth, and the common ratio. y=3(2)^x.
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y = 3(2)^x
- Type: exponential growth (base > 1).
- y-intercept (x = 0): y = 3 → point (0, 3).
- Common ratio / growth factor (per unit increase in x): 2 (the function doubles when x increases by 1).
- Percent growth per unit: 100% increase each time x increases by 1.
- Horizontal asymptote: y = 0.
- Domain: all real numbers. Range: y > 0.
- Type: exponential growth (base > 1).
- y-intercept (x = 0): y = 3 → point (0, 3).
- Common ratio / growth factor (per unit increase in x): 2 (the function doubles when x increases by 1).
- Percent growth per unit: 100% increase each time x increases by 1.
- Horizontal asymptote: y = 0.
- Domain: all real numbers. Range: y > 0.
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