REGENTS-ALGEBRA Linear Equations & Functions 3

Question 1

Which of the following is NOT a function?

Accepted Answer

{(1,2),(1,3),(2,4)}

Answer

A function cannot have the same x-value mapping to two different y-values; (1,2) and (1,3) violate this.

Question 2

What is the domain of the function f(x) = 2x + 1 if the input values are {0, 1, 2, 3}?

Accepted Answer

{0, 1, 2, 3}

Answer

The domain is the set of input (x) values, which is {0, 1, 2, 3}.

Question 3

What is the range of f(x) = 2x + 1 for the domain {0, 1, 2, 3}?

Accepted Answer

{1, 3, 5, 7}

Answer

Evaluating: f(0)=1, f(1)=3, f(2)=5, f(3)=7, so the range is {1, 3, 5, 7}.

Question 4

A taxi charges a flat fee of $3 plus $2 per mile. Which function represents the total cost C for m miles?

Accepted Answer

C(m) = 2m + 3

Answer

The flat fee is the starting value (y-intercept = 3) and the per-mile rate is the slope (2): C(m) = 2m + 3.

Question 5

Which graph represents a function with a negative slope and positive y-intercept?

Accepted Answer

A line falling from left to right that crosses the y-axis above the origin

Answer

A negative slope means the line falls left to right, and a positive y-intercept means it crosses the y-axis above the origin.

REGENTS-ALGEBRA - Algebra Regents Practice Test