1. Consider the function f(x) = x2 + 4x. a. Sketch the graph of y = f(x) and y = '/f(x) . (2 marks Review the online page L1.1 Graphing Standards.) b. State the domain and range ofy = af(x) using set notation. (1 mark). c. I-tlgebrailzallyr determine the coordinates of any points of intersection between the two functions. State all answers as exact values. Hint: Use the quadratic formula. (2 marks) cl. Not all points of intersection are invariant points. Explain how you know for certain that the points of intersection for this question are invariant points. Video Hint: https:(iwsmistia.comimediashahsbimrsg (1 mark) 2. Consider the radical equation ulSx =x3 a. Algebraically determine the restriction for the radicand. State with the variable positioned on the left side of the inequalityr sign. (1 mark) h. Algebraically determine the solution and show a verification to identify any extraneous roots. (3 marks} c. Graphically determine the solution using a system of two functions. Provide a sketch and clearly state the solution. (1 mark} d. Describe the steps taken to solve graphically using a single function. Hint: See page 93 in the textbook. (1 mark )