3.2 Linear Functions.

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Presentation transcript:

3.2 Linear Functions

What We Will Learn Identify linear functions using graphs, tables, and equations Graphing using discrete or continuous data

Needed Vocab Linear equation in two variables: equation using two variables like y = mx+ b Linear function: function whose graph is a nonvertical line with a constant rate of change Nonlinear function: does not have a constant rate of change Solution of equation in two variables: ordered pair (x,y) that makes the equation true Discrete domain: set of input values that consists of only certain numbers in an interval Continuous domain: set of input values that consists of all numbers in an interval

Ex. 1 Is It Linear or Nonlinear Y - axis X - axis

Ex. 2 Is It Linear or Nonlinear See how numbers go up or down starting with the first if by same amount on top and same amount on bottom, then linear Linear nonlinear +3 +3 +3 +2 +2 +2 X 3 6 9 12 Y 36 30 24 18 x 1 3 5 7 y 2 9 20 35 +7 +11 +15 -6 -6 -6

Your Practice nonlinear +1 +1 +1 x 1 2 3 4 y 16 8 -8 -4 -2

Exs. 4 and 5 Discrete or Continuous Domains The function 𝑦=15.95𝑥 represents the cost of buying concert tickets. You can buy a maximum of 4 tickets. Is the domain discrete or continuous? What is the domain? Graph using the domain. Discrete or Continuous? Discrete Cannot buy half a ticket Domain? 0 𝑡𝑜 4 Cannot buy more than 4 Graph Do not connect dots because discrete