1. LINEAR FUNCTIONS MENU TASK Build as few linear functions as possible to satisfy each constraint at least once. Describe how and why you built each linear function. Be sure to identify which linear functions satisfy which constraints. Also discuss... Which constraints pair nicely? Which constraints cannot be paired? Is it possible to solve in 2, 3, or 4 linear functions? Has a positive slope B. Has a positive y-intercept Has a negative x-intercept Never enters the first quadrant Goes through the point (2, -3) Has a negative vertical intercept Has a negative slope Goes through the point (4, 0) Never enters the third quadrant Has a slope less than 1 2. POLYNOMIAL FUNCTIONS MENU TASK Build as few polynomial functions as possible to satisfy each constraint at least once. Use either factored or expanded form. Describe how and why you built each polynomial function. Be sure to identify which polynomial functions satisfy which constraints. A. Has 2 negative x-intercepts B. Never enters Quadrant | C. Has a positive y-intercept D. Ends in Quadrant E. Opens down | Three x-intercepts G. Has an x-intercept with a multiplicity of 2 H. Is symmetrical Discuss and reflect: Which constraints pair nicely? Which constraints cannot be paired isi possible to solve in 2, 3, or 4 polynomial functions? 1. LINEAR FUNCTIONS MENU TASK Build as few linear functions as possible to satisfy each constraint at least once. Describe how and why you built each linear function. Be sure to identify which linear functions satisfy which constraints. Also discuss... Which constraints pair nicely? Which constraints cannot be paired? Is it possible to solve in 2, 3, or 4 linear functions? Has a positive slope B. Has a positive y-intercept Has a negative x-intercept Never enters the first quadrant Goes through the point (2, -3) Has a negative vertical intercept Has a negative slope Goes through the point (4, 0) Never enters the third quadrant Has a slope less than 1 2. POLYNOMIAL FUNCTIONS MENU TASK Build as few polynomial functions as possible to satisfy each constraint at least once. Use either factored or expanded form. Describe how and why you built each polynomial function. Be sure to identify which polynomial functions satisfy which constraints. A. Has 2 negative x-intercepts B. Never enters Quadrant | C. Has a positive y-intercept D. Ends in Quadrant E. Opens down | Three x-intercepts G. Has an x-intercept with a multiplicity of 2 H. Is symmetrical Discuss and reflect: Which constraints pair nicely? Which constraints cannot be paired isi possible to solve in 2, 3, or 4 polynomial functions
