Let f(x)= = (a) Find the two z-values NOT in the domain of f. (b) For...

 

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Let f(x)= = (a) Find the two z-values NOT in the domain of f. (b) For both z-values in part (a), find the right- and left-hand limits at those values. (c) Based on your answer to part (b), sketch a possible graph of f. f3(x) = 2. (10 points) of the four functions listed below, only one has horizontal asymptotes. Deter- mine which has horizontal asymptotes and find all horizontal asymptotes of that function. fi(x)=x +4 f2(x) = sin(x) + cos(x) x- - 42 fa(z) = 2x +6x-7 x + 4x +3 x + 3 3. (10 points) Sketch the graph of a function g(x) that satisfies all of the following properties: 3x-2 x-x-12 g is continuous everywhere except at x = 0 lim g(x) = - z-+00 lim g(x) = 0 1-0- lim g(x) = 1 0+ lim_g(x) = 4 4. (4 points) Let f(z) be a function. Fill in the difference quotient below for the derivative of f(x) at x = a. fill in numerator ho fill in denominator f'(a) = lim 5. (10 points) If an object's position function is given by s(t) 3t24, then find the instantaneous velocity at t = 5. Let f(x)= = (a) Find the two z-values NOT in the domain of f. (b) For both z-values in part (a), find the right- and left-hand limits at those values. (c) Based on your answer to part (b), sketch a possible graph of f. f3(x) = 2. (10 points) of the four functions listed below, only one has horizontal asymptotes. Deter- mine which has horizontal asymptotes and find all horizontal asymptotes of that function. fi(x)=x +4 f2(x) = sin(x) + cos(x) x- - 42 fa(z) = 2x +6x-7 x + 4x +3 x + 3 3. (10 points) Sketch the graph of a function g(x) that satisfies all of the following properties: 3x-2 x-x-12 g is continuous everywhere except at x = 0 lim g(x) = - z-+00 lim g(x) = 0 1-0- lim g(x) = 1 0+ lim_g(x) = 4 4. (4 points) Let f(z) be a function. Fill in the difference quotient below for the derivative of f(x) at x = a. fill in numerator ho fill in denominator f'(a) = lim 5. (10 points) If an object's position function is given by s(t) 3t24, then find the instantaneous velocity at t = 5.