Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. f(x) = x2(x - 4)(x - 1)

A. 0, crosses the x-axis;
4, touches the x-axis and turns around;
1, touches the x-axis and turns around
B. 0, crosses the x-axis;
4, crosses the x-axis;
1, crosses the x-axis
C. 0, touches the x-axis and turns around;
4, crosses the x-axis;
1, crosses the x-axis
D. 0, touches the x-axis and turns around;
-4, crosses the x-axis;
-1, crosses the x-axis

Answer: C

Mathematics

You might also like to view...

Solve the problem.How close does the curve y = come to the point ? (Hint: If you minimize the square of the distance, you can avoid square roots.)

A. The distance is minimized when x = ; the minimum distance is  units.
B. The distance is minimized when x = ; the minimum distance is  units.
C. The distance is minimized when x = - ; the minimum distance is  units.
D. The distance is minimized when x = ; the minimum distance is  units.