Relations/Functions/Qualitative Graphs Graded assignment 24.25

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

Which of the following is not a function? {(0,1), (1,2), (2,3), (3,4)}, {(0,2), (1,3), (4,3), (1,2)}, {(1,3), (4,2), (2,0), (3,4)}, {(1,2), (2,2), (3,2), (4,2)}

Back

{(0,2), (1,3), (4,3), (1,2)} is not a function because the x-value 1 has two different y-values (2 and 3).

Front

What does it mean for a graph to represent a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

Front

Is the relation {(1,2), (2,3), (3,4), (1,5)} a function? Why?

Back

No, because the x-value 1 has two y-values (2 and 5).

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a graph is a function by checking if any vertical line crosses the graph more than once.

Front

Choose the graph that best depicts a man taking a ride on a ferris wheel.

Back

Graph b shows a periodic motion, typical of a ferris wheel.

Front

What does it mean if a graph is not a function?

Back

If a graph is not a function, it means that at least one x-value is paired with more than one y-value.

Front

In the context of speed graphs, what does a horizontal line represent?

Back

A horizontal line represents a constant speed; if the line is flat, the object is not moving.

Front

What does a steep slope in a speed graph indicate?

Back

A steep slope indicates a high speed; the steeper the slope, the faster the object is moving.

Front

If a graph shows Mr. Sam's speed, which section indicates he is stopped in traffic?

Back

Section d shows Mr. Sam stopped in traffic as it is a horizontal line at speed 0.