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
Maude
4.7108 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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