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

```
3 years ago

Spartan 007
20 Points
```							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.
```
3 years ago
Arun
24742 Points
```							 If we convert it into a square.x2 +3x +9x^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)
```
3 years ago
Unknown helper
25 Points
```							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)
```
2 years ago
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### Course Features

• 110 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions