Exploring Functions: Domain and Range

What is the criterion for a set of points to represent a function?

• All points must be positive

• No repeating x-values

• No repeating y-values

• All x-values must be even

If a graph touches a vertical line more than once, what does it indicate?

• It is a quadratic function

• It is definitely a function

• It is a linear function

• It is not a function

What indicates that a graph is not a function when using the vertical line test?

• The line is horizontal

• The line touches the graph at more than one point

• The line does not touch the graph

• The line touches the graph at only one point

Which set of points is a function?

• X values: 3, 3, 4

• X values: 1, 2, 1

• X values: 5, 6, 7

• X values: 8, 8, 8

If a set of points has the x-values 2, 4, 2, what can be concluded?

• It is a linear function

• It is a quadratic function

• It is a function

• It is not a function

What does the domain of a function represent?

• All possible y-values

• All possible x-values

• The maximum value of y

• The minimum value of x

How do you find the range of a function from a graph?

• Measure the distance between points

• Count the number of points

• Identify the highest and lowest y-values

• Identify the highest and lowest x-values

What is the range of a function defined by the set of points (4, 5), (-3, 9)?

• 4, -3

• 5, 9

• -3, 9

• 4, 5

In a function's graph, if the x-values are -4, -3, -2, and there are no repeats, what does it imply?

• It is a quadratic function

• It is a linear function

• It is a function

• It is not a function

What is the domain of the function f(x) = -3x - 4 when the x-values are -10 and 1?

• -3, -4

• 30, -7

• -10, 1

• None of the above