SOLUTION: Use the graphing guidelines to make a complete graph of f. f(x)= −x^3 +18x^2 +1215x

Algebra ->  Test -> SOLUTION: Use the graphing guidelines to make a complete graph of f. f(x)= −x^3 +18x^2 +1215x       Log On


   

Question 1156763: Use the graphing guidelines to make a complete graph of f.
f(x)= −x^3 +18x^2 +1215x

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


We don't know what your "graphing guidelines" are....

-x%5E3%2B18x%5E2%2B1215x
-%28x%29%28x%5E2-18x-1215%29

Factor the binomial by finding two numbers whose product is 1215 and whose difference is 18:

-%28x%29%28x%2B27%29%28x-45%29

The graph should have zeros at -27, 0, and 45; its end behavior should be + for large negative values of x and - for large positive values of x.

A graph (window [-50,50,-100000,100000]....

graph%28400%2C400%2C-50%2C50%2C-100000%2C100000%2C-x%5E3%2B18x%5E2%2B1215x%29