Christi needs your help on the last question of her math homework. The question reads, "How can key features be used to create a sketch of any polynomial function?"

Explain to Christi, in complete sentences, what key features are necessary and how they can be used to create the sketch of a polynomial function.

Question

Christi needs your help on the last question of her math homework. The question reads, "How can key features be used to create a sketch of any polynomial function?"

Explain to Christi, in complete sentences, what key features are necessary and how they can be used to create the sketch of a polynomial function.

anonymous · Answer

@phi @uri @perl

phi · Answer

what key features did you learn about ?

anonymous · Answer

zeroes of a function, rate of change, mins and maxes, increasing and decreasing

anonymous · Answer

i guess zeroes of a function aren't really key features

phi · Answer

zeros sound useful.  they are where the function crosses the x-axis.
If you know the zeros, the mins and maxes, you would plot all of those points.
rate of change tells you whether you are going up or down.
given all of that, and connecting the dots, you would get a decent idea of what the curve looks like.

anonymous · Answer

ok so i could just rewrite that and it would be my answer?

anonymous · Answer

hi

phi · Answer

yes.  Try to write it in your own words

anonymous · Answer

Some key functions that are necessary to create a sketch of a polynomial function are the zeroes of a functions, minimums and maximums, average rate of change, and increasing versus decreasing. 

The zeroes of a function can be used to tell where the function will cross the x-axis. The zeroes and minimums and maximums will be able to help you plot the coordinates.The average rate of change will be able to tell you if the graph will be going up or down. The graph is increasing when the rate of change is positive and decreasing when the rate of change is negative.

anonymous · Answer

does that look good?

phi · Answer

I would tweak this sentence
***The zeroes and minimums and maximums will be able to help you plot the coordinates.***

I was thinking we are told the coordinates of the zeros, mins and maxes, and we plot those points. Then we "connect the dots"  (draw in lines that fill in between the dots)

so the idea is that you plot the coordinates of these key features, and then sketch in a curve that connects these points.

anonymous · Answer

Ok makes sense, I'll do that. Thanks for all the help ! :)