Number of integral values of for which the function is monotonic for every

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Number of integral values of

a

for which the function

f(x)=\left(\frac{4a-7}{3}\right)x^3+(a-3)x^2+x+5

is monotonic for every

x \in R

, is