The set of ordered pairs shown is a function.
open curly brackets open parentheses 0 comma negative 1 close parentheses comma open parentheses 2 comma 5 close parentheses comma open parentheses negative 3 comma negative 10 close parentheses comma open parentheses negative 1 comma negative 4 close parentheses comma open parentheses 1 comma space 2 close parentheses close curly brackets
Which of the following represents the same function?
A
A graph is shown in the xy-plane. The values on the x-axis and the y-axis ranges from negative 8 to 8 in increments of 2. A line is shown on it that passes through the points (0, negative 1) and (3, 0).
B
y equals 3 x minus 1
C
bold italic x negative 10 negative 4 negative 1 2 5
bold italic y negative 3 negative 1 0 1 2
D
The figure shows two sets of numbers. Each set is inside an oval with numbers written one below the other. The set on the left has numbers from top to bottom as 0, 3, 5, 7, and 9. The set on the right has numbers from top to bottom as negative 3, 1, 2, 4, and 6. There are 5 arrows connecting the numbers 0, 3, 5, 7, and 9 in the left oval to the numbers negative 3, 1, 2, 4, and 6 respectively in the right oval.
Could you type the first problem as {[(9-2. . . et cetera? It's very hard to understand with that type of wording.
Which measurement best describes the center of the data set shown below?
open curly brackets 1 comma space 1 comma space 4 comma space 5 comma space 6 comma space 7 comma space 8 comma space 9 comma space 26 close curly brackets
The function can be represented as a set of ordered pairs: {(0, -1), (2, 5), (-3, -10), (-1, -4), (1, 2)}.
Looking at the options:
A) A graph with the points (0, -1) and (3, 0) does not include all the given points. Therefore, it does not represent the same function.
B) The equation y = 3x - 1 does not match the given ordered pairs. Therefore, it does not represent the same function.
C) The table of values matches the given ordered pairs. Therefore, it represents the same function.
D) The figure with ovals and arrows does not match the given ordered pairs. Therefore, it does not represent the same function.
So, the correct answer is C) bold italic x negative 10 negative 4 negative 1 2 5, bold italic y negative 3 negative 1 0 1 2.
To determine if the set of ordered pairs is a function, we need to check if each x-value is associated with a unique y-value. Here are the given ordered pairs:
{(0, -1), (2, 5), (-3, -10), (-1, -4), (1, 2)}
Let's check if each x-value has a unique y-value:
- The x-value 0 is associated with the y-value -1.
- The x-value 2 is associated with the y-value 5.
- The x-value -3 is associated with the y-value -10.
- The x-value -1 is associated with the y-value -4.
- The x-value 1 is associated with the y-value 2.
Since each x-value is associated with a unique y-value, this set of ordered pairs is indeed a function.
Now, let's look at the options given to find the one that represents the same function:
A) A graph is shown, but we cannot determine if it represents the same function without further information.
B) The equation y = 3x - 1 does not necessarily represent the same function as the given set of ordered pairs.
C) The provided table matches the given set of ordered pairs. Each x-value has its corresponding y-value.
D) The figure with two sets of numbers and arrows connecting them does not explicitly represent the same function as the given set of ordered pairs.
Therefore, the option that represents the same function is option C.