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Find the y-coordinate of the y-intercept of the polynomial function defined below. f(x)=8x+5-2x^(2) Answer:

Find the y y -coordinate of the y y -intercept of the polynomial function defined below.\newlinef(x)=8x+5−2x2 f(x)=8 x+5-2 x^{2} \newlineAnswer:

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Full solution

Q. Find the y y -coordinate of the y y -intercept of the polynomial function defined below.\newlinef(x)=8x+5−2x2 f(x)=8 x+5-2 x^{2} \newlineAnswer:
  1. Identify y-intercept: To find the y-coordinate of the y-intercept of the function f(x)=8x+5−2x2f(x) = 8x + 5 - 2x^2, we need to evaluate f(x)f(x) when x=0x = 0, because the y-intercept occurs where the graph of the function crosses the y-axis, and the x-coordinate is always 00 at the y-axis.\newlineCalculation: f(0)=8(0)+5−2(0)2=0+5−0=5f(0) = 8(0) + 5 - 2(0)^2 = 0 + 5 - 0 = 5

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