### Home > INT3 > Chapter 8 > Lesson 8.2.2 > Problem 8-77

8-77.

Sketch a graph of

*y*=*p*(*x*) so that*p*(*x*) = 0 has the indicated number and type of solutions. Homework Help ✎5 real

3 real and 2 complex

4 complex

4 complex and 2 real

For parts (a) through (d), what is the lowest degree each function can have?

Your graph should have five *x*-intercepts.

Draw a graph with no *x*-intercepts. But, when it is shifted down it should have four *x*-intercepts.

Draw a graph with three *x*-intercepts that when shifted vertically would have five *x*-intercepts.

The degree needs to be at least as high as the number of solutions.