SOLUTION: 9. Given 𝑓(𝑥) = {
|𝑥| 𝑓𝑜𝑟 𝑥 < −2
−𝑥 − 1 𝑓𝑜𝑟 − 2 ≤ 𝑥 < 2
1/2𝑥 + 2 𝑓𝑜𝑟 𝑥 ≥ 2
a. Evaluate
𝑓(−5)
𝑓(0)
Algebra.Com
Question 1165350: 9. Given 𝑓(𝑥) = {
|𝑥| 𝑓𝑜𝑟 𝑥 < −2
−𝑥 − 1 𝑓𝑜𝑟 − 2 ≤ 𝑥 < 2
1/2𝑥 + 2 𝑓𝑜𝑟 𝑥 ≥ 2
a. Evaluate
𝑓(−5)
𝑓(0)
𝑓(2)
𝑓(10)
c. What is the range of 𝑓?
Those 3 functions make a piecewise function, but I don't know how to evaluate a piecewise function or find the range. Please!!!
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Is 
or is 
or is 
? Depending on your choice, \ =\ |-5|)
or \ =\ -(-5)\ -\ 1)
or )
could be either 
or 
depending on whether you meant \ =\ \frac{1}{2x}\ +\ 2\ \text{ for }x\,\geq\,2)
or \ =\ \frac{1}{2}x\ +\ 2\ \text{ for }x\,\geq\,2)
.
Use the same process to evaluate the function for the other given values of the independent variable.
The range is the interval from the smallest value the function can return to the largest value it can return.
John
My calculator said it, I believe it, that settles it
I > Ø
RELATED QUESTIONS
{{{(2/1)+2+(9/9)}}} (answered by EdenWolf)
9^1/2+9^1/2= (answered by rfer,Alan3354)
[1 + (10-2)/ 2] *... (answered by mathhub)
- 9/2 + 1/2 =... (answered by jim_thompson5910)
2/9+x=1/2 (answered by TutorDelphia)
(9/4)^-1/2 (answered by askmemath)
1+2^9 (answered by vertciel)
(1/9) ^... (answered by jim_thompson5910)
(9x^9)^1/2 (answered by Fombitz)
9-2/5k=1 (answered by Fombitz)