Relations, Functions, and Graphs

Ohio's Learning Standards

IF.1: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).

IF.2: Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

IF.7: Graph functions expressed symbolically and indicate key features of the graph, by hand in simple cases and using technology for more complicated cases. Include applications and how key features relate to characteristics of a situation, making selection of a particular type of function model appropriate.

Graph linear functions and indicate intercepts.

REI.10: Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

REI.12: Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

LE.2: Construct linear functions given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

ID.6: Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.

Fit a linear function for a scatterplot that suggests a linear association.

ID.7: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.

ID.8: Compute (using technology) and interpret the correlation coefficient of a linear fit.