1. The graph of a function g(x) is shown. [11 marks] a) Evaluate the following limits [7] i) lim g(x) = x--5 ii) lim g(x) = * +-5 lim g(x) = x -5 iv) lim g(x) = 143 B -6 4 -2 V) lim g(x) = vi) lim g(x) = vii) lim g(x) = *4-1 b) State the value(s) of x where g(x) is discontinuous and the type of discontinuity. [4] 2. The graph of a function, f(x) is shown. a) Determine the instantaneous rate of change at x = -5. [2] b) Determine the average rate of change from x = -5 to x = -1. [2] -5 c) State the x-value(s) where the instantaneous rate of change is 0. [2] 5 d) State the interval(s) where the instantaneous rate of change is positive. [2]3. Suppose lim f(x) = 2 and lim g(x) = 1. Use limit properties to determine the value of the 1-+ 3 +3 limit below. [4 marks] lim If(x)+2] x-3 (2+g(x)] 4. Graph the function shown. Afterwards, state the x-values where ((x)is discontinuous and provide justification. [6] XS-2 f(x) = 1x-2. -2