Graphing Exponential Functions
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View: Exponentially Lyric Explanation
1st verse:
5 raised to the power of x equals y
Replace the x to find
The coordinates that define
An exponential line
Replace the with x with -2, -1, 0, 1, 2, 3, 4, 5
These ordered pairs define
A growing curve left along that line
Like (-2, 1/25) and (5, 3,125)
Chorus:
With a coefficient greater than 1
And a positive exponent
This results in growth
The curve explodes like a population
Coefficient between zero and 1
This results in decay
The curve starts high
And falls toward zero, exponentially
2nd verse:
1/5 raised to the power of x equals y
Replace the x to find
The ordered pairs that define an exponential line
Replace the x with -2, -1, 0, 1, 2, 3, 4, 5
The coordinates define
A decaying curve left along that line
Like (-2, 25) and (3, 1/125)
Bridge:
Growth with a coefficient greater than 1
And a positive exponent
Or coefficient between zero and 1
With a negative exponent
Decay - coefficient between zero and 1
And a positive exponent
Or coefficient that is greater than 1
With a negative exponent