1. Every Saturday, Justin gets an allowance of $10 from his parents. During every week since Justin began getting an allowance, he spends $8 and saves the remaining $2 of his allowance before he receives his next allowance. The sequence shown represents the amount of money Justin has right before and right after he gets his allowance for six consecutive weeks, starting with $0.
0, 10, 2, 12, 4, 14, 6, 16, 8, 18, 10, 20
Explain why this sequence is or is not a function?
A.
This sequence is not a function because the amount $10 appears in the sequence more than once.
B.
This sequence is not a function because the sequence does not form a line.
C.
This sequence is a function because each input (odd terms in sequence) maps to one output (even terms in sequence).
D.
This sequence is a function because each output (even terms in sequence) maps to one input (odd terms in sequence).
2. Explain why this mapping is or is not a function.
The figure shows two sets. The set on the left has elements 0, 1, 2, 3, and 4 and the set on the right has elements 1, and 2. A line starts from 0 in the left set to 1 in the right set, a line starts from 1 in the left set to 2 in the right set, a line starts from 2 in the left set to 1 in the right set, a line starts from 3 in the left set to 2 in the right set, and a line starts from 4 in the left set to 1 in the right set.
A.
This is a function because every input maps to only one output.
B.
This is a function because every output maps to only one input.
C.
This is not a function because more than one input maps to an output.
D.
This is not a function because more than one output maps to an input.
3. Determine if each of the following represents a function.
Is a Function
Is Not a Function
Each summer camp group has a different color assigned.
4. Cheryl is driving to her grandmother’s house for the weekend. She drives at a constant speed of 60 miles per hour on the freeway.
Time (Hours) 1 2 3 4 5
Distance (Miles)
A. What are the five values that complete the Distance (Miles) row of the table?
B. Is this relation a function? Explain your reasoning.
5. Which graph does not represent a function? Select two answers.
A. A graph is shown in the xy-plane. The values on the x-axis range from 0 to 9 in increments of 1 and the values on the y-axis range from 0 to 9 in increments of 1. Five points are marked on the graph with coordinates (1, 0), (2, 2), (3, 4), (4, 6), and (5, 8).
B. A graph is shown in the xy-plane. The values on the x-axis range from 0 to 9 in increments of 1 and the values on the y-axis range from 0 to 9 in increments of 1. Six points are marked on the graph with coordinates (2, 1), (4, 6), (5, 5), (6, 2), (6, 9), and (8, 4).
C. A graph is shown in the xy-plane. The values on the x-axis range from negative 8 to 8 in increments of 2 and the values on the y-axis range from negative 8 to 8 in increments of 2. A line starts from a point in the second quadrant, goes down, passes through (negative 8, 6) to the origin, then goes up in the first quadrant with the same rate.
D. A graph is shown in the xy-plane. The values on the x-axis range from 0 to 9 in increments of 1 and the values on the y-axis range from 0 to 9 in increments of 1. From a point (8, 5), a ray goes up, towards left passing through (7, 6) and so on. And a ray goes down towards left which passes through (6, 3).
E. A graph is shown in the xy-plane. The values on the x-axis range from negative 8 to 8 in increments of 2 and the values on the y-axis range from negative 8 to 8 in increments of 2. A line is shown which intersects the x-axis at 4 and the y-axis at negative 4.
6. What type of function is shown?
A graph is shown in the xy-plane. A curve is shown such that as we move right from the origin, the values on the y-axis first increases slowly then rapidly and as we move left from the origin, the values on the y-axis first decreases slowly then rapidly.
A. linear function
B. absolute value function
C. quadratic function
D. cubic function
7. Consider the graph shown.
A graph is shown in the xy-plane. The values on the x-axis range from negative 8 to 8 in increments of 2 and the values on the y-axis range from negative 8 to 8 in increments of 2. Four points are shown whose coordinates are (1, 2), (2, 4), (3, 6), and (4, 8).
Select three options that correctly describe the graph.
A. discrete
B. continuous
C. linear
D. nonlinear
E. increasing
F. decreasing
G. both increasing and decreasing
H. neither increasing nor decreasing
8. A graph, table, and equation are shown below.
A. What is the slope of the graph?
B. What is the slope of the table?
C. What is the slope of the equation?
D. Which has the greatest rate of change?
9. The set of ordered pairs shown is a function.
{
(
0
,
−
1
)
,
(
2
,
5
)
,
(
−
3
,
−
10
)
,
(
−
1
,
−
4
)
,
(
1
,
2
)
}
Which of the following represents the same function as the ordered pairs?
A.
x 3 1
−
2
4 2
y 10 4
−
5
13 7
B.
The figure shows two sets. The set on the left has elements 0, 3, 5, 7, and 9 and the set on the right has elements negative 3, 1, 2, 4, and 6. A line starts from 0 in the left set to negative 3 in the right set, a line starts from 3 in the left set to 1 in the right set, a line starts from 5 in the left set to 2 in the right set, a line starts from 7 in the left set to 4 in the right set, and a line starts from 9 in the left set to 6 in the right set.
C.
A graph is shown in the xy-plane. The values on the x-axis range from negative 8 to 8 in increments of 2 and the values on the y-axis range from negative 8 to 8 in increments of 2. A line is shown which passes through the points (0, negative 1) and (3, 0).
D.
y
=
3
x
−
1
10. Stuart is comparing two different cell phone companies: TalkTalk and Fun Phones. Both company’s monthly costs are shown.
Which company has a lower monthly cost for 2 months? Explain your reasoning.
I need the answers by Friday, if someone can.
I need help with this test!
i need #7 rn
1. To determine whether the given sequence is a function, we need to check if every input (odd terms in the sequence) maps to one and only one output (even terms in the sequence).
Looking at the sequence:
0, 10, 2, 12, 4, 14, 6, 16, 8, 18, 10, 20
We can see that every odd term (input) corresponds to a unique even term (output). For example:
0 maps to 10
2 maps to 12
4 maps to 14
And so on.
Therefore, the correct answer is option C. This sequence is a function because each input (odd terms in the sequence) maps to one output (even terms in the sequence).
2. To determine if the given mapping is a function, we need to check if every input (element in the left set) maps to one and only one output (element in the right set).
Looking at the mapping provided:
0 -> 1
1 -> 2
2 -> 1
3 -> 2
4 -> 1
We can see that each input has a unique output. For example:
0 maps to 1
1 maps to 2
2 maps to 1
And so on.
Therefore, the correct answer is option A. This is a function because every input maps to only one output.
3. It seems like part of the question is missing as it asks to determine if each of the following is a function, but there are no options or additional information given to evaluate.
4. To complete the Distance (Miles) row of the table, we can use the formula Distance = Speed x Time. Since Cheryl drives at a constant speed of 60 miles per hour, the distance traveled in each hour is 60 miles.
The five values that complete the Distance (Miles) row of the table are:
60, 120, 180, 240, 300
To determine if this relation is a function, we need to check if each input (time) has one and only one corresponding output (distance). In this case, since Cheryl drives at a constant speed, for each value of time, there is a unique value of distance.
Therefore, the relation is a function.
homework dump.
surely you have some ideas on some of these.
also, the formatting for several of them is atrocious.