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exam1practice

# exam1practice - f(6 = 3 then which of the following must be...

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Math 2250 Exam #1 Practice Problems 1. Find the vertical asymptotes (if any) of the functions g ( x ) = 1 + 2 x , h ( x ) = 4 x 4 - x 2 What are the domains of g and h ? 2. Evaluate (a) lim x 2 x 2 - 4 x 2 - 5 x + 6 (b) lim x →- 2 | x + 2 | x + 2 (c) lim x →∞ 4 x 3 + 2 x - 4 4 x 2 - 5 x + 6 x 3 3. Evaluate lim x 6 x 2 - 36 3 x 2 - 16 x - 12 4. Evaluate lim x →∞ 3 x 2 - 3 x + 29034 7 x - 9999 5. Let f ( x ) = ± cx 2 - 3 if x 2 cx + 2 if x > 2 f is continuous provided c equals what value? 6. Is the function f deﬁned below continuous? If not, where is it discontinuous? f ( x ) = - x if x < 0 3 - x if 0 x < 3 (3 - x ) 2 if x 3 7. Let f ( x ) be continuous on the closed interval [ - 3 , 6]. If f ( - 3) = - 1 and
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Unformatted text preview: f (6) = 3, then which of the following must be true? (a) f (0) = 0 (b) f ( c ) = 4 9 for at least one c between-3 and 6 (c)-1 ≤ f ( x ) ≤ 3 for all x between-3 and 6. (d) f ( c ) = 1 for at least one c between-3 and 6. (e) f ( c ) = 0 for at least one c between-1 and 3. 8. Find the one-sided limit lim x →-1-x-1 x 4-1 9. Let f ( x ) = | x-2 | . Does lim h → f (2 + h )-f (2) h exist? If so, what is this limit? 1...
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