Question

if a zero has even multiplicity, what happens to the graph at that x - intercept? it has a jump; it has a cusp; it touches and turns; it crosses the x - axis

Explanation:

When a zero of a polynomial has even multiplicity, the graph of the polynomial touches the x - axis at that x - intercept and then turns around. A jump discontinuity is related to piece - wise functions or non - polynomial functions in some cases, a cusp is a different type of graph feature (more related to functions with sharp points in a different context), and crossing the x - axis occurs when the multiplicity is odd.

Answer:

It touches and turns