Algebra Relations and Functions

The school is selling raffle tickets as a fundraiser. The profit from the tickets can be modeled by the equation P(x) = 3x - 35, where x is the number of tickets sold. Which best describes the possible domain?

• all real numbers greater than 0

• all whole numbers

• any rational number greater than 0

• all integers

State the constraints, if any, on the given function.

• x ≠ 0

• x ≠ 2

• x ≠ -2

• No restrictions

State the constraints, if any, on the given function.

• x ≠ 0

• x ≠ 2

• x ≠ -2

• No restrictions

Let 𝐹 be a set of ordered pairs such that {(−3,5),(3,0),(2,2)}. Which of the following statements about the relation is true?

• The relation is a function because no value in the domain goes to multiple values in the range.

• The relation is a function because all values in the range are different.

• The relation is not a function because one value in the domain goes to multiple values in the range.

• The relation is not a function because there is an ordered pair where the domain is equal to the range.

Which choice also represents the relation shown in the sets below as correct ordered pairs?

• {(1,2),(2,4)}

• {(2,1),(4,2),(6,2)}

• {(1,2),(2,4),(2,6)}

• {(2,2),(2,4),(2,6)}

Is the relation above a function?

• Yes, because it doesn’t show any repeating 𝑥 values in the domain.

• Yes, because every 𝑦 value in the range is different.

• No, because one 𝑥 value in the domain goes to multiple different 𝑦 values in the range.

• No, because there is an 𝑥 value in the domain that is equal to a 𝑦 value in the range.

The first number in an ordered pair is...

• the larger number.

• the origin.

• the x-coordinate.

• the y-coordinate.

Is this set of ordered pairs a function or not a function? 

• Function

• Not a Function 

Is this graph a function or not a function? 

• Function 

• Not a Function

Is the given table a direct variation? If so, what is the constant of variation?

• Yes; 1/3

• Yes; 3

• Yes; 5

• No