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Leona [35]
4 years ago
12

Describe the behavior of the graph at the x-intercepts for the function f(x)=(2x-7)^7(x+3)^4. Identify each x-intercept and just

ify your answer as well.
Mathematics
1 answer:
vlada-n [284]4 years ago
8 0
Find x-intercepts

f(x)=0
\\(2x-7)^7(x+3)^4=0
\\2x-7=0
\\x=3.5
\\x+3=0
\\x=-3


Determine the sign of the function:
x∈(-∞,-3)∪(-3,3.5)⇒y<0
x∈(3,5,+∞)⇒y>0

Therefore, point x=-3 is the maximum and point x=3.5 is the point of inflection.


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