Fractions practice
Which table of values does not represent a function?
Given the function y= 2x + 3, what output values will result from the input values shown in the table?
does anyone know the answers bc I kinda need them currently
no idea. But a function will not have the same input value with two different output values.
no idea. Take some of your table values and evaluate the expression using them.
Does anyone know the answers
To determine which table of values does not represent a function, we need to understand what a function is. A function is a relation where each input (x-value) is associated with exactly one output (y-value). In other words, for every x-value, there can only be one corresponding y-value.
Let's analyze each table:
Table A:
x | y
---|---
1 | 2
2 | 3
3 | 4
In this table, each x-value is associated with a unique y-value. This table represents a function.
Table B:
x | y
---|---
1 | 2
2 | 3
3 | 3
In this table, for x = 3, there are two corresponding y-values (both 3). This violates the definition of a function, as one input (3) is associated with multiple outputs. Table B does not represent a function.
Table C:
x | y
---|---
1 | 2
2 | 3
2 | 4
In this table, for x = 2, there are two different y-values (3 and 4). Similar to Table B, this violates the definition of a function. Table C does not represent a function.
Table D:
x | y
---|---
1 | 2
2 | 3
4 | 5
In this table, each x-value is associated with a unique y-value. This table represents a function.
To answer the question, Table B and Table C do not represent a function.
Now, let's move on to the second part of the question about the function y = 2x + 3. We need to find the output values (y-values) that result from the given input values (x-values) in the table.
Let's substitute the x-values from the table into the function to find the corresponding y-values:
For x = 1:
y = 2(1) + 3
y = 2 + 3
y = 5
For x = 2:
y = 2(2) + 3
y = 4 + 3
y = 7
For x = 3:
y = 2(3) + 3
y = 6 + 3
y = 9
So, the output values (y-values) resulting from the input values shown in the table are 5, 7, and 9.