quiz2Bsol

# quiz2Bsol - Solutions to Quiz 2B www.math.uﬂ.edu harringt...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Solutions to Quiz 2B www.math.uﬂ.edu/ harringt January 17, 2008 1 1. Let f (x) = x . Find f (x)−f (b) . x− b Be sure to SIMPLIFY. −1 b x−b b−x = xb(x − b) x−b =− xb(x − b) 1 =− xb f (x) − f (b) = x−b 1 x 2. Find ALL values of x in the interval [0, 2π ] that satisfy cos x = cot x. cos x sin x sin x cos x = cos x sin x cos x − cos x = 0 cos x(sin x − 1) = 0 cos x = Thus, we have either cos x = 0 or sin x = 1. π (a) When cos x = 0, we have x = π , 32 in our interval. 2 (b) When sin x = 1, we have x = π 2 in our interval. π Hence, our solution set is π , 32 . (Did you remember to check to make 2 sure we did not divide by zero?) 3. Determine the validity of the statement. √ (a) ”The domain of x + 5 is [−5, ∞).” This statement is TRUE. 1 (b) ”The graph of f (x) + 3 is obtained by shifting f (x) three units to the left.” This statement is FALSE. The correct statemtent should read: ”The graph of f (x) + 3 is obtained by shifting f (x) three units upward.” 2 ...
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

quiz2Bsol - Solutions to Quiz 2B www.math.uﬂ.edu harringt...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online