4/3/2016 USATestprep, Inc. http://www.usatestprep.com/modules/quiz_factory/qf.php?testid=535 1/15 Coordinate Algebra EOC (GSE) Quiz Answer Key Functions - (MGSE9‐12.F.IF.1) Understand Functions Student Name: _______________________ Date: _________ Teacher Name: THUYNGA DAO Score: _________ 1) Which set is a function? A) {(0,3), (3,0), (0,4), (4,0)} B) {(0,2), (2,0), (4,6), (6,4)} C) {(2,6), (3,6), (4,6), (2,0)} D) {(6,2), (2,0), (4,6), (6,4)} Explanation: The correct answer is {(0,2), (2,0), (4,6), (6,4)}. A function can only have one x variable for every y variable. In this set there is only one x for every y. Or in other words the x variable doesn’t repeat. 2) Which graph represents a function? A) B)
Student Name: _______________________ Date: _________Teacher Name: THUYNGA DAO Score: _________
1) Which set is a function?
A) {(0,3), (3,0), (0,4), (4,0)}
B) {(0,2), (2,0), (4,6), (6,4)}
C) {(2,6), (3,6), (4,6), (2,0)}
D) {(6,2), (2,0), (4,6), (6,4)}
Explanation:The correct answer is {(0,2), (2,0), (4,6), (6,4)}. A function can only have one x variable for every y variable. In this set there is only onex for every y. Or in other words the x variable doesn’t repeat.
Explanation:The solution is graph C. We can use the vertical line test to determine which graphs are functions. In graph C a vertical line will onlyintersect the function in one point. For each input there is exactly one output.
3)
x y
0 3
1 1
2 -1
Using the table, what is the value for the RANGE when the DOMAIN is 2?
A) -1
B) 0
C) 1
D) 2
Explanation:The value for the range when the domain is 2 is -1. On the table, the y-value that corresponds with x-value of 2 is -1.
4) Which set of ordered pairs does NOT represent a function?
Explanation:The solution is (0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9). You can see that the x-value of 2 occurs twice. Once in point (2,2) and again inpoint (2,7). Therefore, the set of ordered pairs does NOT represent a function. In a function for each input there is exactly one
Determine whether the relation shown here is a function. Explain your answer.
A) function, an input has 1 output
B) function, an input has 2 different outputs
C) function, no output has 2 different inputs
D) not a function, an input has 2 different outputs
Explanation:To determine if a relation is a function you need to see if each input has one and only one output. Since that is not the case here thecorrect answer is relation, an input has 2 different outputs.
Explanation:The solution is table D. Because elements of the domain repeat, table D is not a function. In a function for each input there is exactlyone output.
7)
What is the domain of the relation shown in the graph?
A) 0
B) 1
C) 2
D) undefined
Explanation:The domain for the graph is 2. The graph is a vertical line, so the x-value (domain) never changes.
According to the graph, what is the value for the RANGE when the DOMAIN is 0?
A) -2
B) -1
C) 0
D) 1
Explanation:The value for the range when the domain is 0 is 1. On the graph, the y-value that corresponds with the x-value of 0 is 1.
9)
Which of these graphs represents a function?
A)
B)
C)
D)
Explanation:The correct answer is C. It passes the vertical line test. If a vertical line is passed over the graph and only crosses the graph in onepoint at a time then the graph is a function.
10) Which of these tables does NOT represent a function?
Explanation:The correct answer is B. The first value of 3 is mapped to both 6 and 7. It can only be mapped to one item to be a function.
11) If the domain is {0, 2, -6}, what is the range of y = -2x + 3?
A) {0, 7, 29}
B) {0, 7, 15}
C) {3, -1, -9}
D) {3, -1, 15}
Explanation:The correct answer is {3, -1, 15}. When you substitute the domain values in for the x in the equation you get the following: -2(0) + 3 = 3 -2(2) + 3 = -1 -2(-6) + 3 = 15.
Explanation:Solution: B. The graph shown in choice B is a vertical line with the equation x = 3. Vertical line graphs are not functions becausethere is more than one output for each input.
Explanation:Solution: D. To determine whether or not the graph is a function, use the vertical line test. Your vertical line should only intersectthe graph of a function one time.
Oliver is doing a study on age and shoe size. He has collected the data shown above.
Do the ordered pairs (x, y) he has collected form a function?
A) Cannot be determined
B) Yes, because for every x there is only one y.
C) Yes, because for every y there is only one x.
D) No, because for some x's there are more than one y's.
Explanation:The definition of a function states that for every x there is only one y. If you look at the data table for an x- value of 8 there are 2different y-values 7 and 9. Therefore the correct answer is No, because for some x's there are more than one y's.
15) Which set of points is a function?
A) {(0,3),(2,4),(0,6)}
B) {(1,2),(2,2),(3,2)}
C) {(1,4),(2,5),(1,6)}
D) {(2,3),(-2,4),(2,6)}
Explanation:In order for a relation to be a function, every x can only have one y, and every y must have at least one x. When looking at a set ofordered pairs to find a function, you can look to make sure that no x's repeat. The only set of ordered pairs that is a function is {(1,2),(2,2),(3,2)}.
16) If the rule of the function is "multiply by 2 then add 3" and the input value is -2, what is the output value?
A) -8
B) -4
C) -1
D) 0
Explanation:Since the input value is -2, we multiply 2 by -2 and add 3. The correct answer is -1.
17) On analyzing a function, John finds that f(3) = 7. This means that the graph of f passes through the point
A) (0, 7)
B) (3, 0)
C) (3, 7)
D) (7, 3)
Explanation:(3, 7) is correct, since when x = 3, y = f(x) = 7.
18)
x y
0 3
1 1
2 -1
Which set of values in the RANGE corresponds to the set {0,2} in the DOMAIN?
A) {0,1}
B) {1,0}
C) {1,1}
D) {3,-1}
Explanation:The set of values in the range that correspond to {0,2} is {3,-1}. Using the table, the y-value that corresponds with the 0 is the 3 andthe y-value that corresponds with the 2 is the -1.
19) Heather is trying to determine if a relation is a function. Which type of diagram makes it EASIEST to decide?
A) {(1,2), (2,-4), (3,0), (-2,10), (2,5), (-1,8)}
B)
C)If the input is 1, then 1 is also the output. If the input is 2 then either square it and change the sign or square it and add 1.If the input is 3, then subtract 3 from it. If the input is negative 2 then cube it, change the sign and add 2 more to it. If theinput is negative 1, then multiply by negative 8.
is the best to show if a relation is a function. You can see ifone input goes to more than one output.
20) Which relation describes a function? What makes it a function?
A) {(-2,3),(-2,5),(-6,7)} Each member of the range is unique.
B) {(2,3),(3,3),(3,4)} Each member of the domain and range is positive.
C) {(2,3),(3,3),(3,4)} Each member of the domain and range is a real number.
D) {(-2,3),(-3,3),(-4,3)} Each member of the domain is assigned exactly one member of the range.
Explanation:A function is defined as a relation in which each member of the domain is assigned exactly one member of the range. In otherwords, each x can only have one y-value assigned to it. The correct answer is {(-2,3),(-3,3),(-4,3)}- Each member of the domain isassigned exactly one member of the range..
