Question

How can key features be used to create a sketch of any polynomial function? @matricked

Answer 1

The degree of a polynomial function shows you the number of real solutions. You can set y equal to 0 and solve for x to get those solutions, the x-intercepts.

Answer 2

yup correct

Answer 3

The opposite is also true - setting x equal to 0 and solving for y will find you the y-intercepts. You may then graph the function, paying careful attention to end behavior (which may be determined by looking at the original function. If the degree is odd/even, you will have opposite/same end behavior, respectively. If the lead coefficient of an odd degree is positive/negative, you will have down on left, up on right/up on left, down on right, respectively. Otherwise, if the lead coefficient of an even degree is positive, it will go up on both sides. Negative will make it go down on both sides).

Answer 4

To determine the turning point, set the expression within the parentheses = to 0 and solve.

Answer 5

it seems you know most of it
go ahead

Answer 6

Just double checking this is what they were asking for. I've been studying for hours and my brain is turning to mush, so I wanted a second opinion. The other one I need help with is actually stumping me a bit more, though.

Answer 7

Good for that one?