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Find the 
y-coordinate of the 
y-intercept of the polynomial function defined below.

f(x)=x(x-5)(x^(2)-1)
Answer:

Find the y y -coordinate of the y y -intercept of the polynomial function defined below.\newlinef(x)=x(x5)(x21) f(x)=x(x-5)\left(x^{2}-1\right) \newlineAnswer:

Full solution

Q. Find the y y -coordinate of the y y -intercept of the polynomial function defined below.\newlinef(x)=x(x5)(x21) f(x)=x(x-5)\left(x^{2}-1\right) \newlineAnswer:
  1. Find y-coordinate: To find the y-coordinate of the y-intercept of the function f(x)f(x), we need to evaluate f(x)f(x) at x=0x=0, because the y-intercept occurs where the graph of the function crosses the y-axis, and the x-coordinate of any point on the y-axis is 00. Calculation: f(0)=0×(05)×(021)=0×(5)×(1)=0f(0) = 0 \times (0 - 5) \times (0^2 - 1) = 0 \times (-5) \times (-1) = 0.

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