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Unformatted text preview: ac Unit 3 TOPIC 2 TASK CARD CONTINUITY AT A POINT - ALGEBRAICALLY ctions: For #1- 5, determine where the following functions are not continuous. Use algebraic hods to support your answer. TASK A f (r) = " -1 2x + 1 2) x+ 2 3) f(x) = 12+2- (X+2=0 (x+3XX-2) VA al x= D X=-3 / X= 3 VAat x=-2 So not conthnvous 30 not continuous al x=o since at x--& So, not contnuous add x- -3 3 X=2 be (aug Qir fu) DNE. be cav & kim fu DUE kimfu e Lim fix) Xza DNE f(x)= ( 2x - 10, x< 2 x-9 -2 2+2x +1. 21 x2 2 f (x)= x21 5) Limfid=a(0)-10 = - 1040 limfi)= ()?+a()+1= 4 to not continuous lim ()=- a #4 , 30 gim f(x ) DUE x-7 1 ad X=a be cause and hot continuous 1 =x fo umm AK) DUE TASK B Directions: For #6-13, determine if the functions are continuous everywhere. If the functions are not continuous everywhere, determine where the functions are not continuous. Use algebraic methods to support your answer. f(x) _X -x-2 _ (x-2)(x+4 I+x X+f 6) x+1 (x+1) T hob as 7) f(x) =~ x? -x-2 (x-aXxIT) VA wolo not continuous at X=-1 Not continuous of x=a becave X= - I becavee Lim DUE f(-1 DUE Not continvous at x= - I because x2-9. x<3 -329=0 6-) DUE f(x) =- x+1 f(x)- 3. x-3 -3 8) x'+x+1 And factorablo, 9) 19-x3 x>3 -,9-320 7 3 +0 so no holes or VA) kimbrel) =Q So lim fux = O 50 fux) is continuous um(ix)=o and f(8)-34 everywhere. x-20' but limfix) +f(3) 30, not continuous ad x= 3,...
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