6.1 Classwork (Writing Exponential functions)

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What is an exponential function?

Back

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What does the base 'b' in an exponential function represent?

Back

The base 'b' in an exponential function determines the rate of growth or decay. If b > 1, the function represents exponential growth; if 0 < b < 1, it represents exponential decay.

Tags

CCSS.HSF-IF.C.8B

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Back

The starting term 'a' is 300, which represents the initial value of the function when x = 0.

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CCSS.HSF.LE.B.5

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How do you identify exponential growth from a graph?

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Exponential growth is identified by a curve that rises steeply as x increases, indicating that the function's value increases rapidly.

Tags

CCSS.HSF-IF.C.7E

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How do you identify exponential decay from a graph?

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Exponential decay is identified by a curve that falls steeply as x increases, indicating that the function's value decreases rapidly.

Tags

CCSS.HSF-IF.C.7E

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What is the general form of an exponential decay function?

Back

Tags

CCSS.HSF-LE.A.1A

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What is the significance of the y-intercept in an exponential function?

Back

Tags

CCSS.HSF-IF.C.7E

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How do you convert a table of values into an exponential function?

Back

To convert a table of values into an exponential function, identify the pattern of growth or decay and use two points to determine the values of 'a' and 'b'.

Tags

CCSS.HSF.LE.A.2

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What is the difference between linear and exponential functions?

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Linear functions have a constant rate of change, while exponential functions have a variable rate of change that increases or decreases multiplicatively.

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What does it mean if an exponential function has a base greater than 1?

Back

If an exponential function has a base greater than 1, it indicates that the function is experiencing exponential growth.

Tags

CCSS.HSF-IF.C.8B