Graphing Piecewise Functions Quiz

What is a piecewise function?

• A function defined by a single equation.

• A function defined by multiple equations over different intervals.

• A function that only has positive values.

• A function that is always increasing.

For the function f(x) = x + 1 where x >= 0, what is the y-value when x = 2?

• 3

• 4

• 2

• 1

How do you determine the x-values to use when graphing x + 1 for x >= 0?

• Use only even numbers.

• Start at 0 and use positive integers.

• Use only negative integers.

• Start at 0 and use negative integers.

What is the purpose of using a table when graphing piecewise functions?

• To make calculations more complex.

• To find the maximum value of the function.

• To organize x and y values for easy plotting.

• To avoid using a graph.

What is the y-value for the function f(x) = x - 3 when x = -1?

• -4

• -2

• -3

• -5

When graphing x - 3 for x < 0, what type of circle is used at x = 0?

• Open circle

• Closed circle

• Both open and closed circle

• No circle

Why do we use an open circle at x = 0 for the function x - 3?

• Because x = 0 is included in the solution.

• Because x = 0 is the minimum value.

• Because x = 0 is not included in the solution.

• Because x = 0 is the maximum value.

What does a closed circle on a graph indicate?

• The point is not included in the solution.

• The point is included in the solution.

• The graph ends at that point.

• The graph starts at that point.

What does the arrow on the graph of a piecewise function represent?

• The graph changes direction.

• The graph is mirrored.

• The graph continues indefinitely in that direction.

• The graph stops at that point.

Where can you find more practice questions on graphing piecewise functions?

• In the video comments.

• On the Math Sucks blog.

• In the video description.

• In the video itself.