Understanding Piecewise Functions

What is a piecewise function composed of?

• A single function without restrictions

• A quadratic equation

• Multiple functions with domain restrictions

• A single linear equation

When evaluating a piecewise function at x = -1, which function should be used?

• The function for x ≤ 2

• The function for x < -4

• The function for x > 2

• The function for x = 0

How do you determine which function to use when evaluating a piecewise function?

• By using the first function listed

• By selecting the function with the smallest coefficient

• By checking the domain restrictions for the input value

• By choosing the function with the highest degree

What does an open hole on a graph of a piecewise function indicate?

• The function has a minimum value at that point

• The function has a maximum value at that point

• The function is continuous at that point

• The function is undefined at that point

What is the domain of a piecewise function if both segments are lines?

• All real numbers

• Only positive numbers

• Only integers

• Only negative numbers

How do you find the equation of a piecewise function segment?

• By guessing the slope and intercept

• By using the graph to determine the slope and intercept

• By using only the slope

• By using only the intercept

What is a breaking point in a piecewise function?

• A point where the function changes from one segment to another

• A point where the function has a minimum value

• A point where the function is undefined

• A point where the function has a maximum value

In a piecewise function, what does a filled-in hole represent?

• A point where the function has a maximum value

• A point where the function is continuous

• A point where the function has a minimum value

• A point where the function is undefined

How do you determine the slope of a segment in a piecewise function?

• By using the y-intercept

• By using the midpoint formula

• By using the x-intercept

• By counting the rise over run between two points

What is the range of a piecewise function if the highest y-value is 3?

• y ≥ 3

• y > 3

• y ≤ 3

• y < 3