Relations and Functions

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Presentation transcript:

Relations and Functions Algebra 2 Lesson 2-1 Relations and Functions

State the domain and range of the relation shown in the graph State the domain and range of the relation shown in the graph. Is the relation a function? Example 1-1a

Fuel Efficiency (mi/gal) Transportation The table shows the average fuel efficiency in miles per gallon for light trucks for several years. Graph this information and determine whether it represents a function. Year Fuel Efficiency (mi/gal) 1995 20.5 1996 20.8 1997 20.6 1998 20.9 1999 2000 2001 20.4 Example 1-2a

y x Graph the relation represented by : y = 3x - 1 Make a table of values to find ordered pairs that satisfy the equation. Choose values for x and find the corresponding values for y. Then graph the ordered pairs. y x Example 1-3a

y x a. Graph: y = 2x + 5 b. Find the domain and range. c. Determine whether the relation is a function. Example 1-3d

Graph the relation represented by Determine whether the relation is a function. X Y Example 1-4a

Given: Find: Example 1-5a

Given: Find: Example 1-5b

Given: Find: Example 1-5c

Lesson 2-2: Linear Equations Linear Equations: has no operations other than addition, subtraction, and multiplication of a variable by a constant Variables may not be multiplied together Variables may not be in the denominator of a fraction Variables do not have exponents other than 1 The graph is always a straight line

Example of Linear Equations Yes No

Standard Form Ax + By = C No fractions or decimals A and B cannot both be zero A cannot be negative

Writing an Equation in Standard Form

x- and y-intercepts x-intercept: the point where your line intersects the x-axis y-intercept: the point where your line intersects the y-axis

Finding the x- and y-intercepts X-intercept Y-intercept

X-intercept Y-intercept

X-intercept Y-intercept