The equation y = x + 1 defines the relationship between x and y, where x is the input and y is the output. Which statements abou
t the graph of this relationship are true? Select two that apply. A.The graph is a curved line.
B.The graph is a straight line.
C.the graph is a vertical line.
D.The graph represents a function.
E.The graph has no negative outputs.
F.The graph passes through the origin.
A) It's defintely not curved; it's written in slope intercept form and is indeed a straight line.
B) Yes, the graph is a straight line. Although it's at an angle, it has no curves or flaws, and is completely straight.
C) The graph is not vertical. It has a y intercept and slope and therefore isn't. That's because it has a rate of change, and it crosses the y axis at some point depending on the slope, or rise over run. Vertical lines really don't have that.
D) Yes, the graph is a function. This is because it does not have two x values for one y, and does not fail the straight line test, which states that you can place a straight line anywhere on the graph and it can only go through one point.
E) This is false. If we put in -5 as our input, we add 1 and get -4, which is a negative output. Your output here depends on the input you put in, and the sign usually remains considering it's +1.
F) This graph does not pass through the origin. This is because the origin has a point at 0,0 and since it's x+1, it would be 0,1 instead because your output is adding one to that 0.
The graph is a straight line because y = x + 1 has a slope of 1 (and it's not changing so it can't be curved, neither is it ∞ so it can't be vertical). This graph does not pass through the origin because it has a + 1 at the end. It is a function because no input matches to 2 different outputs. It also has negative outputs because what if x was -50.
if you order the numbers from least to greatest, there are 14 numbers (which is even which means their is going to be two median. when you have two medians you add them and then divide them by 2) 35 + 35 = 70, 70 divided by 2 is 35. the answer is 35!
