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# wksht1 - 4M7 —1 Math 21A Kouba Worksheet 1 1 Use limits...

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Unformatted text preview: 4M7? —1 Math 21A Kouba Worksheet 1 1.) Use limits and algebra to determine the value of constants A and B so that each of the following functions is continuous for all values of x. {x2—7m+6 a.) f(.’L‘)= 37—6 , ifx3¢é6 A, ifmzﬁ. A2 —A, 'f >1 b~>r<w>={ z A+at , if\$<0 Clﬂ@={A+1 A233+3, ifszO. 3, ifmgl d.) f(:v)={Ax2+B, ifl<zr§2 5, ifm>2. Ans—B, ifzcg—l e.) f(:c):{2:1:+3A+B, if—1<a:§1 4, if\$>1. 2.) For what x—values are the following functions continuous ? Brieﬂy explain why using shortcuts and rules from class. Sketch the graph of each using a graphing calculator. \$+1 100 b h =———— ) ﬂ) 4_ \$2_9 c.) h(m) : sin3(ln(3cc — 5)) 332—333—4 , d.)g(m)={h—\$_4 , lfzc7é4 5, if:L'=4. 3 9: +1, ifm;£1,—1 ewe): 9524 —3/2, ifzvz—l 3, ifle. ...
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