Question

Consider the polynomial function.f(x)=-(x-2)(x+1)^2(x-1)^2List each real zero of f according to the behavior of the graph at the x-axis near that zero. If there is more than one answer separate with commas. Zero(s) where the graph crosses the x-axis: Zero(s) where the graph touches, but does not cross the x-axis:Find the y-intercept of the graph f:

Answer 1

Zero(s) where the graph crosses the x-axis: (2, 0)

Zero(s) where the graph touches, but does not cross the x-axis: (-1, 0), (1, 0)

Find the y-intercept of the graph f: (0, 2)

Explanation:

The zeros would be the points when y is equal to 0.

Zero(s) where the graph crosses the x-axis: (2, 0)

Zero(s) where the graph touches, but does not cross the x-axis: (-1, 0), (1, 0)

Find the y-intercept of the graph f: (0, 2)