I need help with these questions please explain thank you

1.

6332 if mg2 Let f a: = ( ) { 2a: 7 if a: > 2 Calculate the following limits. Enter "DNE" if the limit does not exist. r= :] r= :] 21:12 m = :] The graph below is the function f(x) A 2 -5 -4 -3 -2 -1 2 3 4 Determine which one of the following rules for continuity is first violated at a = - 1. Of(a) is defined. O lim f(x) exists. x -+ a O lim f(x) = f(a).2 1 The slope of the tangent line to the curve y = E at the point (4, E) is: The equation of this tangent line can be written in the form :9 = ma: + b where: The current population of a small town is 4537 people. It is believed that town's population is tripling every 10 years. Approximate the population of the town 4 years from now. :] residents (round to nearest whole number) If f(:c) = 29:2 3m + 4, find f'( 3). Use this to find the equation of the tangent line to the parabola y = 2:52 31: + 4 at the point ( 3, 31). The equation of this tangent line can be written in the form y = ma: + b