The PDF linked below challenges students to demonstrate understanding of the concepts of relations and functions. They must be able to understand functions and select, convert flexibly among, and use various representations for them. A student must be able to identify linear points on a coordinate grid and name them. A student must determine the equation for a linear function from a graph or from coordinates. A student must be able to recognize non‐linear points that form a parabola and estimate the graph of the curve. A student must be able to find the equation for a parabola given some of the coordinate points. A student must be able to distinguish between the features of a linear, quadratic and exponential graph and their equations.
http://www.insidemathematics.org/common-core-math-tasks/high-school/HS-F-2008%20Functions.pdf