SOLUTION: Let f (x) = x2 + 8x + 22. Find the vertex. Answer: ________ State the range of the function. Answer: ________ On what interval is the function increasing? Answer: ________

Algebra ->  Finance -> SOLUTION: Let f (x) = x2 + 8x + 22. Find the vertex. Answer: ________ State the range of the function. Answer: ________ On what interval is the function increasing? Answer: ________      Log On


   

Question 1126030: Let f (x) = x2 + 8x + 22.
Find the vertex. Answer: ________
State the range of the function. Answer: ________
On what interval is the function increasing? Answer: ________
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+x%5E2+%2B+8x+%2B+22
Find the vertex.
write it in vertex form: f%28x%29=+a%28x-h%29%5E2%2Bk where h and k are coordinates of the vertex
f%28x%29+=+%28x%5E2+%2B+8x%2Bb%5E2%29-b%5E2+%2B+22...complete square
f%28x%29+=+%28x%5E2+%2B+8x%2Bb%5E2%29-b%5E2+%2B+22
since coefficients a=1 and 2ab=8->2%2A1%2Ab=8->b=4
f%28x%29+=+%28x+%2B+4%29%5E2-4%5E2+%2B+22
f%28x%29+=+%28x+%2B+4%29%5E2-16+%2B+22
f%28x%29+=+%28x+%2B+4%29%5E2+%2B+6
=> h=-4 and k=6 and vertex is at (-4,6)

Answer: ___(-4,6)_____


State the range of the function.
Answer: ________ { f element R : f%3E=6 }


On what interval is the function increasing?
Answer: ____(-4,infinity)____







Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Let f (x) = x2 + 8x + 22.
Find the vertex. Answer: ________
State the range of the function. Answer: ________
On what interval is the function increasing? Answer: ________
x-coordinate of vertex: 

y-coordinate of vertex: 



That's it!!