Exploring Functions and Function Notation

What is an ordered pair?

• A pair of letters representing a line on the coordinate plane.

• A pair of numbers representing a line on the coordinate plane.

• A pair of letters representing a point on the coordinate plane.

• A pair of numbers representing a point on the coordinate plane.

What does the domain of a function represent?

• The set of all points.

• The set of all x-values.

• The set of all y-values.

• The set of all lines.

What does the range of a function represent?

• The set of all x-values.

• The set of all points.

• The set of all y-values.

• The set of all lines.

What is a function?

• A relation where each input has only one output.

• A relation where each output has only one input.

• A relation where each input has multiple outputs.

• A relation where each output has multiple inputs.

Which of the following is NOT a function?

• A relation where each input has a unique output.

• A relation where each output has only one input.

• A relation where an input has two different outputs.

• A relation where each input has only one output.

What is the vertical line test used for?

• To determine if a function is one-to-one.

• To determine the range of a function.

• To determine the domain of a function.

• To determine if a relation is a function.

What does it mean if a vertical line intersects a graph at more than one point?

• The relation is a function.

• The relation is onto.

• The relation is not a function.

• The relation is one-to-one.

How do you write the function notation for y = 2x + 1?

• y = f(x) + 1

• 2x + 1 = f(x)

• f(x) = 2x + 1

• f(y) = 2x + 1

If f(x) = x^2 + 2, what is f(-3)?

• 7

• 11

• 9

• 5

In the function f(x) = x^2 + 2, what do you replace x with to find f(3z)?

• z

• 3z

• x

• 3