Chapter 4 - 6 Functions and Equations The learning targets the students will know: I can: Interpret a graph (4.1) Determine whether a graph is discrete or continuous (4.2) Determine the independent and dependent variable (4.3) Determine whether the graph has no correlation, negative correlation, or positive correlation (4.4) Write out the domain and range in table form, graph or a mapping diagram (4.2) Graph a linear equation (5.1) Determine whether a line is a function (5.1) Use the x and y intercepts (5.2) Find the three ways to find slope (5.3) Graph using the slope intercept form (5.5) Solve Systems of Equations – by graphing (6.1) Solve Systems of Equations – by elimination (6.2) The functional and linear equations are all tied together which is why I put them together. Notes: Different types of Graphs: How would you explain what is going on in this graph? What about this one? Of the two graphs, which one is continuous and which one is discrete? Graph with no correlation: Graph with positive correlation: Graph with negative correlation: Graph Examples using Independent and Dependent Variables Tell me the dependent variable and the independent variable of this graph. Determine the Domain and the Range – Domain is x and the y is the range yes, it is a 4 2 3 5 1 5 6 -2 function The three ways of writing domain and range: Table X coordinate Y coordinate 3 4 5 6 Graph Mapping Is it a function? Draw an imaginary line on the vertical (y – axis) to see if more than one point is on that line. Chapter 5 Determine the slope: What are the three ways to find the slope?? Graph Two Points Equation Practice: (5, 0) and (-2, 0) 4 6 2x + y = 7 y = -2x + 7 slope = -2 Percent: Part (is) = Whole (of) % 100 What percent of 40 is 38? What are you looking for? 15 is 54% of what number? What are you looking for? 60% of 40 is what? What are you looking for? Systems of Equations: By graphing Graph the first line Graph the second line Answer is where the two lines intersect. Make sure your line is going in the right direction Use a straight line Example: By Elimination: