Find [tex]x[/tex]-intercepts
[tex]f(x)=0
\\(2x-7)^7(x+3)^4=0
\\2x-7=0
\\x=3.5
\\x+3=0
\\x=-3
[/tex]
Determine the sign of the function:
x∈(-∞,-3)∪(-3,3.5)⇒y<0
x∈(3,5,+∞)⇒y>0
Therefore, point [tex]x=-3[/tex] is the maximum and point [tex]x=3.5[/tex] is the point of inflection.
