Use the Intermediate Value Theorem to determine if the polynomial function has a real zero between a and b. SHOW WORK NEATLY for full credit.
f(x)=2x^3+6x^2-3 ; a=-2 , b=-1

Question

Use the Intermediate Value Theorem to determine if the polynomial function has a real zero between a and  b.  SHOW WORK NEATLY for full credit.
 f(x)=2x^3+6x^2-3 ; a=-2 , b=-1

watchmath · Answer

Actually there is no zero for f(x) between -2 and -1 here

anonymous · Answer

how do you solve it

watchmath · Answer

usually the intermediate value theorem is used to show that a zero exist but we can't use it to show that it doesn't  exist. In this case I just suspicious because I couldn't show that it has a zero using the intermediate value theorem. So I graph it and see that there is no zero between -2 and -1.