Presentation on theme: "Section 5.3 11121c Let h be a function defined for all such that h(4) = -3 and the derivative of h is given by for. Write an equation for the line tangent."— Presentation transcript:
Section c Let h be a function defined for all such that h(4) = -3 and the derivative of h is given by for. Write an equation for the line tangent to the graph of h at x = 4. Day 3: I can solve limits involving infinity.
Which of the following is true about I. f is continuous at x = 1 II. The graph of f has a vertical asymptote at x = 1 III. The graph of f has a horizontal asymptote at y = 1/2 I. f(1) results in zero in denominator….NO II. Since x =1 results in 0/0, it is a HOLE, NOT asymptote III. X X X X
Just means find the slope, so… take the derivative!
CALCULATOR REQUIRED [-10, 10] [-50, 50] X
NO CALCULATOR X X
Which of the following are asymptotes of y + xy – 2x = 0? I.x = -1 II. x = 1 III. y = 2 A. I only B. II only C. III only D. I and III only E. II and III only X X
Try these…evaluate each of the following limits: X X X X X X X X X X
Find the vertical and horizontal asymptotes of
Since neither cancels with the numerator, there are two vertical asymptotes…TRUE X X X X