75657
AssignmentMultiple Choice

Linear Piecewise Defined Functions

Question 75657 • AZ-Common Core Algebra II B

Lucy needs to buy some organic apples, and her grocery store is having a sale on them. If she buys 3 or fewer pounds of apples, the price will be $1.50 per pound. If she buys more than 3 pounds of apples, the price is $1.10 per pound. What is the domain of the piecewise-defined function, where x represents the number of pounds of apples?

Answer
A
{x| x ≥ 0}
B
{x| x is a real number}
C
{x| 0 ≤ x ≤ 3}
D
{x| x ≥ 3}

Explanation

The domain is the set of possible values for x, the number of pounds of apples Lucy buys. She cannot buy a negative amount, but she can buy any nonnegative amount; the two pricing rules together cover amounts up to 3 pounds and amounts greater than 3 pounds. Therefore, the domain is {x | x ≥ 0}, meaning all nonnegative real numbers.

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