Warm-up1. Is the following set of ordered pairs a

function? Explain why or why not.{(-1, -2), (0, 2), ( 1, 4), (3, 8)}

2. Make a table, or T-chart, using the following domain values for the given function. Domain values: {-2, -1, 0, 1, 2}y= -3x + 9

3. Is the function in #2 linear? Explain.

Are arithmetic sequences also linear functions?

• Can we take a sequence and write it as a set of ordered pairs?

• The term position is my x-value and the value of the term at that position is my y-value.

• So lets look at the following sequence:3, 7, 11, 15, …

• We can write this sequence as a set of ordered pairs to determine if it can be a function.{(1, 3), (2, 7), (3, 11), (4, 15), …}

Are arithmetic sequences also linear functions?

• Is this set of ordered pairs a function? Why or why not?{(1, 3), (2, 7), (3, 11), (4, 15)}

• Can we figure out the function for these ordered pairs?

• Let’s graph this function on a coordinate plane to see if it’s linear.

Are arithmetic sequences also linear functions?

• Graph the ordered pairs and overlay with a line. {(1, 3), (2, 7), (3, 11), (4, 15)}

X

Y