1. Describe an exponential growth pattern. Include key properties such as growth factors.
And exponential growth pattern doesn't have a constant rate of change and grows rapidly. With the value of the base always staying the same and the exponent always changing depending what x is. For example the exponential growth pattern for the base 2, it starts out at 2, 4, 8, 16, 32. It is constantly being multiplied from one value to another and that's what causes the rapid growth.
2. How are exponential functions similar to and different from the linear functions you worked with in earlier Units?
They are similar in the sense that they have a constant rate of change. For linear functions, the difference between two values will always be the same. But for the difference between two values in exponential functions is multiplying. Because it will always be for example x2, x2, x2. But the differences between the two values will keep getting larger and not staying at a constant rate of change.
And exponential growth pattern doesn't have a constant rate of change and grows rapidly. With the value of the base always staying the same and the exponent always changing depending what x is. For example the exponential growth pattern for the base 2, it starts out at 2, 4, 8, 16, 32. It is constantly being multiplied from one value to another and that's what causes the rapid growth.
2. How are exponential functions similar to and different from the linear functions you worked with in earlier Units?
They are similar in the sense that they have a constant rate of change. For linear functions, the difference between two values will always be the same. But for the difference between two values in exponential functions is multiplying. Because it will always be for example x2, x2, x2. But the differences between the two values will keep getting larger and not staying at a constant rate of change.
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