1. Consider the function f(x) = x2 + 4x. a. Sketch the graph of y = f(x) and y = ff(x) . (2 marks Review the online page L1.1 Graphing Standards.) b. State the domain and range ofy = \\(f(x) using set notation. (1 mark). c. Algebraically 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] d. 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: htth:,fgwswistia.commediasgha hsbimrsg [1 mark} 2. Consider the radical equation #5 x = x 3 a. Algebraically determine the restriction for the radicand. State with the ua riable positioned on the left side of the inequality sign. (1 mark} h. Algebraically determine the solution and show a verification to identify anyr 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}