CalcNotes0208-page12

CalcNotes0208-page12 - h is continuous on 3,10 ( ) 10, ( )...

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(Section 2.8: Continuity) 2.8.12 Example 11 (Revisiting Example 6 in Chapter 1) Assuming hx () = x + 3 x ± 10 , then what are the continuity intervals of h ? Solution In Chapter 1, we found that Dom h () = ± 3, 10 ² ³ ) ´ 10, µ () . These are also the continuity intervals. By the Algebra of Continuity Theorems, we find that
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Unformatted text preview: h is continuous on 3,10 ( ) 10, ( ) . lim x 3 + h x ( ) = h 3 ( ) , because both sides equal 0. Therefore, h is continuous from the right at 3 , and the continuity intervals are: 3,10 ) 10, ( ) . Here is the graph of h : (Figure 2.8.m)...
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