Defining Functions from Patterns

This mapping is.....

• a function, because Feb has two outputs, 28 and 29

• a function, because two inputs, Jan and Mar, result in the output 31

• not a function, because Feb has two outputs, 28 and 29

• not a function, because two inputs, Jan and Mar, result in the output 31

A relation where every input in matches with exactly one output is called what?

• Relation

• Linear

• Exponential

• Function

Is this a function? Explain.

• Yes; it passes the horizontal line test.

• No; it is not a straight line.

• Yes; it passes the vertical line test.

• No; there is a line connecting the dots.

What type of function is shown?

• absolute value

• quadratic

• linear

• exponential

What type of pattern do linear functions have?

• Adds by the same number every time

• Multiplies by the same number every time

• Square roots all the inputs

• Squares all the inputs

Which kind of function has the same First Differences (constant rate of change)

• Linear

• Quadratic

• Exponential

• None

Which kind of function has the same Second Differences

• Linear

• Quadratic

• Exponential

• Absolute Value

Which kind of function has the same First Differences

• Linear

• Quadratic

• Exponential

• Absolute Value

Evaluate f(2).

• f(2) = 5

• f(2) = 12

• f(2) = 10

• f(2) = 0.5

Evaluate f(6).

• f(6) = 18

• f(6) = 12

• f(6) = 10

• f(6) = 1