 # Exponential Function PDF Form

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Exponent. y = 2x y = 3x y = .5 x The graphs of various exponential curves are shown above. We know that the graph of y = 1x graphs ________. 1 If a < 0, the graph of y = a x will not exist at certain points for instance, what is (−2) 2 ? _________ So it only makes sense to examine functions in form of y = a x , if a >0, a ≠ 1. When a >1, we get what is called a growth curve and the larger a is, the steeper the growth curve is. If 0 < a < 1, the we get a decay curve as shown in the 3rd...
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In this video I will show you how to simplify complex expressions such as these using the properties of exponents let's simplify inside the parentheses first so when I multiply everything in the numerator I'm going to start by multiplying for example a to the fourth power times a to the negative 2 power and when you multiply a variable expressions you add these exponents, so that is going to give me a squared because 4 plus negative 2 is 2 similar similarly I will have B to the seventh power alright when I multiply the bees together, so I will still have this negative a to the third power B squared, and I still have the negative fourth power now I will start canceling things out looking at a squared over a to the third power remember I'm only going to do this once but a squared over a to the third power that means a times an over a times a so these two A's are going to cancel out these two A's so that's going to leave 1a in the denominator that's the kind of thought process you should

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