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What is the range of following fuction f(x)= x2 + 3x + 9?

What is the range of following fuction f(x)= x2 + 3x + 9?

Grade:11

3 Answers

Spartan 007
20 Points
6 years ago
The above function can get any values depending on different positive and negative values of x . Therefore the above function`s range will be R.
Arun
25750 Points
6 years ago
 
If we convert it into a square.
x2 +3x +9
x^2 + 2*3/2*x + 9/4 -9/4 +9
(x+ 3/2)^2 + (9-9/4)
(x+3/2)^2 +27/4
 
Hence Range will be [27/4, infinite)
Unknown helper
25 Points
6 years ago
Make the graph.See the coefficient of x2 is positive, so it will be opened upwards.Now coordinates of vertex, (-b/2a,-∆,/4a)Range Will be [-∆/4a, infinity)[27/4, infinity)

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