Determine points when the function is concave up and down and find inflection points
F(x)=-3x^3+-4x^2+1x-11

Question

Determine points when the function is concave up and down and find inflection points
F(x)=-3x^3+-4x^2+1x-11

zpupster · Answer

www.mathportal.org/calculators/polynomials-solvers/polynomial-graphing-calculator.php?val1=3x^3+plus4x^2plusx-11&ch1=xi&ch5=inf&ch6=con

1st der 9x2+8x+1
2nd der  18x + 8

set 0 = 18x+8
x=-4/9  back in equation y= - 10.91  that is the inflection point

you determine concave up or down by picking numbers larger and smaller
and plugging them in and seeing what the graph is doing.