please show all the work

label Calculus
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

Jun 15th, 2015

Thank you for the opportunity to help you with your question!

just doing it give me 10 minutes

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 15th, 2015

given f(x) =  -x^2  + 4x + 5     x<4

                 =   2x - 3    x>=4


so now to check for continuous we    have    to find f(x+) and f( x-)

f( x+) means the value of f(x) where x>=4

f( x -) means the value of f(x) where x <4


f( 4 + )  we have to find so just plug  x=4  in f(x) where x>=4

so f( 4+) = -(4)^2 + 4(4) +5

               = -16  + 16 +5

f(4+) = 5

now in similer way i will find f (x -)   that is f(4 -)

f(4 -) = 2(4)  -3

         = 8 - 3

         = 5

so the value of f( 4+ ) and f( 4-) values are 5

both are same so the given function is continuous

Jun 15th, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
Jun 15th, 2015
...
Jun 15th, 2015
Jun 23rd, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer