Question
The graph is showing which of the following functions?
(1 point)
Responses
y = x+2
\(y\ =\ x+2\) - no response given
y = x−2
\(y\ =\ x-2\) - incorrect
y = 2x
\(y\ =\ 2x\) - no response given
(1 point)
Responses
y = x+2
\(y\ =\ x+2\) - no response given
y = x−2
\(y\ =\ x-2\) - incorrect
y = 2x
\(y\ =\ 2x\) - no response given
Answers
GPT-4o mini
To determine which function the graph shows, you need to look at key features of each function:
1. **y = x + 2**: This is a linear function with a slope of 1 and a y-intercept at (0, 2). The line will rise to the right and cross the y-axis at 2.
2. **y = x - 2**: This also is a linear function with a slope of 1, but it crosses the y-axis at (0, -2). The line will rise to the right but is shifted down.
3. **y = 2x**: This function has a slope of 2 and a y-intercept at (0, 0). The line rises faster than the other two functions.
To accurately determine which function corresponds to the graph, look for:
- The y-intercept: where the line crosses the y-axis.
- The slope: how steep the line is.
If the graph shows a line that crosses the y-axis at 2, then it corresponds to **y = x + 2**. If it crosses at -2, it corresponds to **y = x - 2**. If the line is steeper than a slope of 1, then it might be **y = 2x**.
Without seeing the graph, I can't determine the correct answer. Please look at the y-intercept and the steepness of the line to figure out which function matches the graph.
1. **y = x + 2**: This is a linear function with a slope of 1 and a y-intercept at (0, 2). The line will rise to the right and cross the y-axis at 2.
2. **y = x - 2**: This also is a linear function with a slope of 1, but it crosses the y-axis at (0, -2). The line will rise to the right but is shifted down.
3. **y = 2x**: This function has a slope of 2 and a y-intercept at (0, 0). The line rises faster than the other two functions.
To accurately determine which function corresponds to the graph, look for:
- The y-intercept: where the line crosses the y-axis.
- The slope: how steep the line is.
If the graph shows a line that crosses the y-axis at 2, then it corresponds to **y = x + 2**. If it crosses at -2, it corresponds to **y = x - 2**. If the line is steeper than a slope of 1, then it might be **y = 2x**.
Without seeing the graph, I can't determine the correct answer. Please look at the y-intercept and the steepness of the line to figure out which function matches the graph.