Show or Explain Your Work on Each Problem. 1) Sketch the graph of the following function. State the domain of the function, identify any intercepts and test for symmetry. f ( x )=9x 2 2) Sketch the graph of the following function. State the domain of the function, identify any intercepts and test for symmetry. f ( x )=62 2x 3) Suppose (-3, 7) is on the graph of y = f(x). Use Theorem 1.7 to find a point on the graph of the following transformed function. y=3 f ( x + 4 )2 4) Find both the point-slope form and the slope-intercept form of the line with the given slope which passes through the given point. 3 m= , P=(14 ,10) 7 Math 107 Quiz 3 Page 2 5) Find both the point-slope form and the slope-intercept form of the line with the given slope which passes through the given point. m=2, P=(5 ,100) 6) Find the slope-intercept form of the line which passes through the given points. P=(6 ,12 ) Q=(6 , 20) 7) A salesperson is paid $410 per week plus 2% commission on her weekly sales of x dollars. Find a linear function that represents her total weekly pay, W (in dollars) in terms of x. What must her weekly sales be in order for her to earn 595.00 for the week? 8) Solve the equation. 18|x| =3 5 Math 107 Quiz 3 9) Given the function. Page 3 1 f ( x )= |x1| 2 a) Graph the function b) Find the zeros of the above function c) Find the x- and y-intercepts of the above graph, if any exist. d) From the graph, determine the domain and range of the given function, e) List the intervals on which the function is increasing, decreasing or constant, and f) Find the relative and absolute extrema, if they exist. 10) Given the function f ( x )= |x5|2 x a) Graph the function b) Find the zeros of the above function c) Find the x- and y-intercepts of the above graph, if any exist. Math 107 Quiz 3 Page 4 d) From the graph, determine the domain and range of the given function, e) List the intervals on which the function is increasing, decreasing or constant, and f) Find the relative and absolute extrema, if they exist. End of Quiz 3: please do not forget to write and sign (or type) the required statement explained in the box above Part I of the Quiz 3