Question

The thermal representation f(x) = 20 times 0.8 to the power of x is known from an exponential function f. Specify the intersection point with the y-axis

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Answer to a math question The thermal representation f(x) = 20 times 0.8 to the power of x is known from an exponential function f. Specify the intersection point with the y-axis

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Maude

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97 Answers

To find the intersection point of the thermal representation function $ f(x) = 20 \times 0.8^x $ with the y-axis, you're looking for the point where the graph intersects the y-axis. On the y-axis, the value of x is 0. Substitute $ x = 0 $ into the function to find the value of $ f(x) $ at the y-axis: \[ f(0) = 20 \times 0.8^0 \]

\[ f(0) = 20 \times 1 \]

\[ f(0) = 20 \] So, when $ x = 0 $, the value of $ f(x) $ is 20. Therefore, the thermal representation function intersects the y-axis at the point (0, 20).

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