Honors Calc 1 MAC3472 3203 Quiz Q1 Prof. JLF King 17Nov2009 ByTheWay: This is an open brain, closed book, quiz. Please ﬁll in the blanks. Show no work. Write expressions unambiguously e.g, “1 /a + b ” should be bracketed either [1 /a ] + b or 1 / [ a + b ]. ( Be careful with negative signs! ) Q1a: Let α ( x ) := x · sin( x + 2) and β ( x ) := x-2. Compute the compositions: β ± α ( x ) ² = . α ± β ( x ) ² = . Let h ( x ) := 5 · [ x 3-2] and let g be its inverse function. Then g ( x ) = . Q1b: Consider a function f : R → R . Let L,V,U,H,Y,R,S be f altered as follows: Translated L eft by 3 units. Stretched V ertically by a factor of 4. Translated U p by 5 units. Stretched H orizontally by a factor of 6. Flipped about the y-axis ( x =0 line ). R otated about the ori-gin by 180 ◦ . Flipped about the y =7 line ( S even. ) Answers: L ( x ) = f ( x-3). V ( x ) = 4 · f ( x ). U ( x ) = . H ( x ) = . Y
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