b. Find the x -Intercepts. State whether the graph crosses the x -axis, or touches the x -axis and turns around, at each intercept. The \( x \)-intercept (s) is/are 0,2 . (Type an integer or a decimal. Use a comma to separate answers as needed. Type each answer only once.) At which \( x \)-intercept(s) does the graph cross the \( x \)-axis? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The \( x \)-intercept(s) at which the graph crosses the \( x \)-axis is/are 0,2 . (Type an integer or a decimal. Use a comma to separate answers as needed. Type each answer only once.) B. There are no \( x \)-intercepts at which the graph crosses the \( x \)-axis.

To find the behavior of the graph at the x-intercepts (0, 2), we can analyze the multiplicity of the roots. If the x-intercept is odd (like 1), the graph crosses the x-axis, whereas if it's even (like 2), it touches the x-axis and turns around. If we denote the corresponding factor of the polynomial for these intercepts, you can determine the behavior. In your case, if both intercepts are of odd multiplicity, the graph will cross the x-axis at both points. If one or both are of even multiplicity, the graph will touch and turn around at those intercepts. Check the factors to determine this! For a hands-on approach, you can graph the function to visualize the intercepts! Tools like Desmos or GeoGebra can easily show you how the graph behaves at those points. By plotting the polynomial, you'll see directly whether it crosses or merely touches the x-axis at (0, 2). What a fun way to understand the behavior of polynomials!