Intro to Linear Functions

f(x) is the same thing as ______.

• y
• x
• input
• an equation

If a question asks you to find f(2), what does that mean?

• Let x = 2

• Let y = 2

If f(x) = 2x + 1, find f(1).

• f(1) = 1

• f(1) = 4

• f(1) = 0

• f(1) = 3

Write a set of ordered pairs to represent the mapping diagram below.

• (1,2), (2,2), (3,4), (4,4), (5,6), (5,8), 6,6)

• (2,1), (2,2), (4,3), (4,4), (6,5), (6,6), (8,5)

• (1,2), (1,4), (1,6), (1,8), (3,4), (5,7), (6,8)

Determine if the image represents a function.

• Yes, because there are the same amount of numbers in the input and output ovals.

• No, because you can not have an output of 0.

• Yes, because each input has only one output.

• No, because all arrows should be diagonal. The 4 arrow going straight across to the 6 fails the test.

Does the mapping diagram represent a function?  Explain your reasoning.

• Yes it is a function because every input has only one output.

• No it is not a function because every input has only one output.

• It is not a function because the input of 2 has two outputs.

• It is not a function because the input of 5 has two outputs.

Write the set of ordered pairs to represent the table.

• (6,-12), (3,-6), (0,0), (3,6), (6,12)

• (-12,6), (-6,3), (0,0), (6,3), (12,6)

• (-12,3), (-6,6), (0,0), (6,6), (12,3)

Determine if the image represents a function.

• Yes, because each input has only one output.

• No, because each input has only one output.

• Yes, because there are 4 input numbers and 4 output numbers.

• No, because the input of 2 has two different outputs.

What rule connects the x and y values from this table?

• y = 2x + 5
• y = 4x + 1
• y = 3x + 3
• y = x + 7

Use the rule y=2x+5 to complete the missing value in the table

• 5

• 4

• 6

• -1