Chapter 2 Goals

[2.1] Relations and Functions
Know what a relation is and be familiar with how to represent them using a graph, a mapping, an xy-table, or an equation.
Know what a function is.
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Tutorial 2 | Solutions
Tutorial 3 | Solutions

[2.1] Relations and Functions
Given a graph, be able to tell whether the graph is a function or non-function. (vertical line test)
Given a table of values, be able to tell whether the graph is a function or non-function.
Given an equation, be able to tell whether the graph is a function or non-function.
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[2.1] Domain and Range. Identify the domain and range of a graph.
Identify the domain and range of an equation.
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[2.2] Given two points, know how to find slope.
Know the difference between positive slope and negative slope on a graph.
Know how the slopes of parallel lines are related.
Know how the slopes of perpendicular lines are related.
Know the special slopes for vertical and horizontal lines.
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[2.3] Convert equations into slope-intercept form: y = mx + b
Graph equations written in slope-intercept form
Know the equations for vertical and horizontal lines.
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[2.4] Given either two points or a slope and a point, be able to write an equation for the line.
Be able to use the point-slope form for lines: y – y­1 = m(x – x1)
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[2.4] Find linear equations parallel or perpendicular to a given line or pair of points (ex: [2.4] 25-28)
Be able to use the point-slope form for lines: y – y­1 = m(x – x1)
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[2.4] Given any graph of a line, be able to write an equation for the line.
Given a linear equation in any form, be able to graph it.
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[2.4] Given a linear equation in any form, be able to find the x and y intercepts.
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[2.6] Given a point and a linear inequality, determine whether the point is a solution.
Given a linear inequality equation, be able to graph solid or dotted and use a test point to find out which side to shade.
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[2.7] Given a piecewise equation, be able to evaluate f(x) points and graph it.
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[2.7] Given a piecewise graph, be able to write its equation.
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[2.7] Graphing the Greatest integer function.
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[2.7] Given any function in the form f(x) = a|x - h| + k, know what the values a, h, and k do to the graph.
Given an absolute value equation, be able to graph it quickly without using tables.
Given the graph of an absolute value function, be able to write its equation.
Tutorial 1 | Solutions
Tutorial 2 | Solutions