Table and Graph to Exponential Function

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What is an exponential function?

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Front

What does the base of an exponential function represent?

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The base of an exponential function determines the rate of growth or decay. If the base is greater than 1, the function represents exponential growth; if the base is between 0 and 1, it represents exponential decay.

Front

What is the standard form of an exponential function?

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Front

How do you identify an exponential function from a table of values?

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An exponential function can be identified if the ratio of consecutive outputs (y-values) is constant when the inputs (x-values) are increased by the same amount.

Front

What is the difference between linear and exponential functions?

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Linear functions have a constant rate of change, represented by a straight line, while exponential functions have a variable rate of change that increases or decreases rapidly, represented by a curve.

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Back

Front

What is the equation of an exponential function that passes through the point (0, 5)?

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Front

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

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To convert a table of values into an exponential equation, you can use regression analysis or find the values of 'a' and 'b' by solving the equations formed by the points.

Front

What is the exponential growth formula?

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Front

What does the graph of an exponential function look like?

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The graph of an exponential function shows a rapid increase or decrease, starting from a point on the y-axis (when x=0) and curving upwards (for growth) or downwards (for decay).