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Math111i_Quiz1_solution

# Math111i_Quiz1_solution - s that being t as a function with...

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Math 111I Sec 001 Quiz 1 Solutions Name Directions: Read each question carefully and answer in the space pro- vided. The use of calculators is allowed, but not necessary. There are 10 points possible. To receive partial credit on any problem work must be shown. 1. Consider the table giving the values for variables s and t . s 6 1 5 10 4 t -4 1 -6 -7 1 Is s a function of t ? Is t a function of s . Show your work. Solutions. We begin by checking to see if we have s = f ( t ) being a valid function. But, because we have that f (1) = 1 and f (1) = 4 , we see that we cannot have such a function f ( t ). On the other hand considering a function

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Unformatted text preview: ( s ) that being t as a function with s as the input, we see that each input for s has one and only one output deﬁned. Thus we have that t is a function of s . 2. Consider the function f ( x ) = x 2 + 1 x-2 . Evaluate f (-3), f (0), f (1), and f (2). If any of your answers are not deﬁned say so. Show your work. Math 111I Sec 001 Quiz 1 Solutions Solutions. The evaluations follow: f (-3) = (-3) 2 + 1-3-2 = 9 + 1-5 =-2 f (0) = 2 + 1-2 =-1 2 f (1) = 1 2 + 1 1-2 = 2-1 =-2 f (2) = 2 2 + 1 2-2 = 5 which is undeﬁned....
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