<p> CUBISM CLUES</p><p>Directions: 1) On graph paper, draw a coordinate system that is centered on the sheet. </p><p>2) Use the clues below to draw the function described on your coordinate system. Choose 10 out of the 15 clues to graph. Label each graph with the clue number in a circle and an arrow pointing to the sketch. </p><p>3) Write the equation of the graph on your coordinate plane in the table provided. When appropriate name the x – intercepts, y – intercepts, and any relative extrema (maximums or minimums) of the graph. </p><p>Clue Number Clue 1 y = mx + b where m < 0 and b > 0. 2 An absolute value function that shifts left and has a vertical shrink. 3 An absolute value function that reflects and has a vertex in the first quadrant. 4 A quadratic function that has 2 rational roots. 5 A function whose range is {y|y ≥ -2} 6 A function whose domain is {x|x ≥ 4} 7 f(x) =ax2+bx+c and f(x) has an axis of symmetry at x = 5. 8 A quadratic function that has 2 negative roots. 9 A quadratic function where b2-4ac < 0. 10 A circle in the 2nd quadrant. 11 A circle with radius > 2 whose center is on the x or y axis. 12 A cubic function that rises to the left and falls to the right. 13 A cubic function that has 3 real rational roots. 14 A square foot function that has a horizontal or vertical shift. 15 A reciprocal function with a vertical asymptote of x = 3.</p><p>Some hints: 1) You can write a quadratic or cubic function in factored form with its roots – then multiply it out to find the equation. EX: f(x) = (x - 2)(x – 3) has roots 2, 3 and the standard form of the equation is f(x) = x2 – 5x + 6. </p><p>2) Once you have your equation use the table in your calculator to plot points on your graph to make your sketch precise. </p><p>3) Use your calculator to find the maximum, minimum, x and y intercepts once you have the equation if you need to. </p><p>4) Make it beautiful if you want to get recognized on the wall! CUBISM CLUES</p><p>Equation x- intercepts y- intercept(s) Relative extrema 1. N/A 2. 3. 4. 5. 6. 7. 8. 9. 10. N/A 11. N/A 12. * 13. * 14. 15. N/A *Bonus points</p>