How do you determine if the equation #y = 1.23(1.02)^x# represents exponential growth or decay?

Answer 1

To determine if the equation y = 1.23(1.02)^x represents exponential growth or decay, examine the base of the exponential term (1.02). If the base is greater than 1, the equation represents exponential growth. If the base is between 0 and 1, exclusive, the equation represents exponential decay. In this case, since the base (1.02) is greater than 1, the equation represents exponential growth.

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Answer 2

Genesis Allen

Exponential Growth

The general exponential function is #y=ab^x# In the above equation 1.23 represents the y-intercept or the number at the beginning of the experiment. 1.02 is the growth rate and x is time after the experiment begins. graph{1.23*(1.02)^x [-160, 160, -80, 80]}

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.