Which graph represents the exponential function below?
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See! I don't see your options but generally exponential graphs can be of two types on the basis of the most primitive classification.
The graphs you can see above are two versions for this expression.
1. When your 'a' is fractional. Eg - 2/3
2. When your a is non-fractional. Eg - 2.3
Please notice that each graphs cuts the y axis at y=1 when x=0 irrespective of nature of a. This is because anything raised to power of 0 becomes 1.
The fractional exponential touches zero when x approaches infinity because if you raise any fractional quantity to any power it even decreases its value. Eg - (0.5)^2 = 0.25, while it's just the opposite case for the second graph.
The third graph you see is of e^x where e is not fractional as you can guess from the graph.
To be precise
Thanks!
The graphs you can see above are two versions for this expression.
1. When your 'a' is fractional. Eg - 2/3
2. When your a is non-fractional. Eg - 2.3
Please notice that each graphs cuts the y axis at y=1 when x=0 irrespective of nature of a. This is because anything raised to power of 0 becomes 1.
The fractional exponential touches zero when x approaches infinity because if you raise any fractional quantity to any power it even decreases its value. Eg - (0.5)^2 = 0.25, while it's just the opposite case for the second graph.
The third graph you see is of e^x where e is not fractional as you can guess from the graph.
To be precise
Thanks!
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