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



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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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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