The function f(x) is defined to be f ( x ) = ( 2 x + 1 ) ( x − 2 ) / x − 2 for x ≠ 2 and f ( x ) = k for x = 2. What value of k will make f(x) continuous at x=2?

(05.03 mc) part a: explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−2 intersect are the solutions of the equation 4x = 2x−2. (4 points) part b: make tables to find the solution to 4x = 2x−2. take the integer values of x between −3 and 3. (4 points) part c: how can you solve the equation 4x = 2x−2 graphically? (2 points)