Question 1: Answer.(i) Determine if the following functions are even, odd, or neither. Show your algebraic justification foreach.(ii) Graph each functions using a graphing calculator or using an online graphing tool (such asDesmos.com). Provide a sketch or screenshot of your graphs and identify the symmetry for each.a) 𝑓(𝑥) = The equation is given in the screen shotb) 𝑔(𝑥) = The equation is given in the screen shotQuestion 2: Create.(a) Create your own piecewise-defined function to model a real-life situation such as your commute,a monthly salary (example #9, and problem #87 on page 212) or a cell phone plan (problem #88 page212). State the function’s equation and give a description of the function stating the input and outputof your function.(b) Sketch an accurate graph of your newly-created function using appropriate axes values. (Notethat in some cases it’s appropriate to use non-integer values for the independent variable.) Includevalues where the function changes. (c) Evaluate the piecewise function at three values and interpret what these points represent in thecontext of your problem. (d) Identify the domain and range appropriate for your problem situation. Write your answers usingset-builder notation. (e) State where the function is increasing, decreasing or constant using interval notation. (section 1.7page 205)

Progress Test 3 (Evaluation 59) covers the course materials that were assigned in Units 5 and 6. Although the progress test is similar in style to the unit evaluations, the progress test is a closed-book, proctored test. You may not have access to notes or any of the course materials while you are taking the test. You may use your graphing calculator on this test.____ 1.If 10 people apply for 3 jobs, in how many ways can people be chosen for the job if the jobs are all the same?a. b. c.d.Find the value of a for this series: a.b.c.d. 2Use this system to find the value of the determinant: .–1–7c. 7 d. 1Use the elimination method to find the solution for z:a. 4 b. 3 c. 2 d. 1____ 2.____ 3.____ 4.____ 5.Find the sum of this series:____ 6.____ 7.____ 8.____ 9.1084c.d.Letz1 =3–4iandz2 =−1–i.Findz1 –z2.a. 4–3i b. 4–5i c. 2–3i d. 2–5iFind the solution set of this linear system:(2, 0)(0, 2)no solution(0, −2)Given: logb2 = .4, logb3 = .6, logb5 = .7. Use properties of logarithms to find the following value: logb0.6 =–0.11.0–.06–.76=1does not exist.c.d. =0