Thank you for the opportunity to help you with your question!
just doing it give me 10 minutes
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
so the value of f( 4+ ) and f( 4-) values are 5
both are same so the given function is continuous
Content will be erased after question is completed.
Enter the email address associated with your account, and we will email you a link to reset your password.
Forgot your password?