Question

How many times will the graph of f(x)=x(x+2)
cross the x-axis?(1 point)

Answer 1

To find the number of times the graph of f(x)=x(x+2) crosses the x-axis, we need to find the number of real roots of the equation f(x)=0.

Setting f(x) equal to 0, we have:

x(x+2) = 0

This equation holds when either x=0 or x+2=0. Thus, the graph of f(x) crosses the x-axis at x=0 and x=-2.

Therefore, the graph of f(x)=x(x+2) crosses the x-axis 2 times.