Question

identify the roots and y-intercept of the function below. fill in the sign table and sketch a graph. your graph must accurately cross all known intercepts. \\( f(x) = x^2(x + 6)(x + 4)(x - 2)^2 \\) identify the y-intercept of the function. 0 identify all real roots. use commas to separate.

Explanation:

$x+4=0 \implies x=-4$
$(x-2)^2=0 \implies x=2$ (double root)

Step3: List all unique roots

Collect distinct real roots: 0, -6, -4, 2

Answer:

$x+4=0 \implies x=-4$
$(x-2)^2=0 \implies x=2$ (double root)

Step3: List all unique roots

Collect distinct real roots: 0, -6, -4, 2