1.
2.
3.
4.
5.
6.
Part A
(D) If f(x) = x sin for x ≠ 0 and f(0) = 0 then,
thus this function is continuous at 0. In (A), does not exist; in (B), f
has a jump discontinuity; in (C), f has a removable discontinuity; and in
(E), f has an infinite discontinuity.
(C) To find the y-intercept, let x = 0; y = −1.
(A)
(D) The line x + 3y + 3 = 0 has slope ; a line perpendicular to it has
slope 3.
The slope of the tangent to y = x^2 − 2x + 3 at any point is the derivative
2 x − 2. Set 2x − 2 equal to 3.
(A) is f ′ (1), where . Or simplify the given
fraction to .
(E) Because p′′(2) < 0 and p′′(5) > 0, p changes concavity somewhere in
the interval [2,5], but we cannot be sure p′′ changes sign at x = 4.
