Evaluating Piecewise Defined Functions

What is a piecewise defined function?

• A function that is always linear.

• A function defined by a single formula.

• A function that is a combination of multiple functions.

• A function that only has one condition.

What are the two main parts of a piecewise defined function?

• Formulas and variables

• Conditions and constants

• Formulas and conditions

• Variables and constants

Which condition is true for x = -3 in the given example?

• x < 4

• x > 4

• x = 4

• x < -4

What is the output when x = -3 in the given function?

• 9

• -6

• 3

• -9

Which condition is true for x = 6 in the given example?

• x > 6

• 4 < x ≤ 6

• x = 4

• x < 4

What is the output when x = 6 in the given function?

• -31

• 31

• 5

• 36

Which condition is true for x = 25 in the given example?

• x > 6

• x < 4

• 4 < x ≤ 6

• x = 4

What is the output when x = 25 in the given function?

• 25

• 6

• 4

• 7

What should you do after finding the true condition for a given x?

• Use the corresponding formula to evaluate the function.

• Ignore the condition and use any formula.

• Recalculate the conditions.

• Use the first formula in the list.

What is the final step in evaluating a piecewise defined function?

• Rewriting the function.

• Simplifying the formula to get the output.

• Checking all conditions again.

• Finding the conditions.