(b) How many tangent lines to this parabola pass through the origin? (What passing through the origin have to do with y-intercept?) Jalla 20 = 92= (c) How many tangent lines to this parabola pass through the point (0, 20)? (d) Draw a picture illustrating the previous two parts. - Ja 248=20 12 To 4. What is the value of this limit (if it exists)? -30lines 27/3 - 128 lim 20 -+ 8 x - 8 Explain how you know. Do not use a calculator, and do not use L'Hopital's rule (if you know what that is; if you don't, don't worry about it!). (Hint: don't try to factor or do any algebra. Instead, think about what bigger concept this limit represents!) 5. Draw the graph of a function that satisfies all of the following properties: (a) f is differentiable at all points ( b) f' ( - 2 ) = 0 (c) f" is negative between x = -3 and x = -1 ( d) f' ( 1 ) 0