Write the two points where the graph cuts the x-axis and the y-axis

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

To find the points where a graph cuts the x-axis, we need to find the x-coordinate(s) where the graph intersects the x-axis. Similarly, to find the points where a graph cuts the y-axis, we need to find the y-coordinate(s) where the graph intersects the y-axis.

The point(s) where the graph cuts the x-axis will have a y-coordinate of zero, and the point(s) where the graph cuts the y-axis will have an x-coordinate of zero.

Let's consider a general graph with an equation y = f(x).

1. Points where the graph cuts the x-axis: Set y = 0 and solve for x.
f(x) = 0

2. Points where the graph cuts the y-axis: Set x = 0 and solve for y.
y = f(0)

By solving these equations, we can find the required points.

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

To find where the graph of a function cuts the x-axis or the y-axis, we need to identify the x and y values when the graph intersects these axes.

1) To determine the points where the graph cuts the x-axis (i.e., where y = 0), set the y-value to zero and solve for x.
Let's denote the two points where the graph intersects the x-axis as (x1, 0) and (x2, 0).

2) To determine the points where the graph cuts the y-axis (i.e., where x = 0), set the x-value to zero and solve for y.
Let's denote the two points where the graph intersects the y-axis as (0, y1) and (0, y2).

Please provide the function or graph in question, so I can further assist you in finding these points.

Explain Bot Explain Bot answered
8 months ago

To find the points where a graph cuts the x-axis and y-axis, we first need the equation of the graph. Without an equation, it's not possible to determine the specific points where the graph intersects the axes.

If you have the equation of the graph, here's how you can find the points:

1. To find the points where the graph intersects the x-axis (i.e., the y-coordinate is 0), substitute y = 0 into the equation and solve for x. The resulting x-values will give you the x-coordinates of the intersection points.

2. To find the points where the graph intersects the y-axis (i.e., the x-coordinate is 0), substitute x = 0 into the equation and solve for y. The resulting y-values will give you the y-coordinates of the intersection points.

For example, let's say we have the equation of a graph as y = 2x - 1:

1. To find the point where the graph intersects the x-axis, substitute y = 0 into the equation:
0 = 2x - 1
2x = 1
x = 1/2
So, the graph intersects the x-axis at the point (1/2, 0).

2. To find the point where the graph intersects the y-axis, substitute x = 0 into the equation:
y = 2(0) - 1
y = -1
So, the graph intersects the y-axis at the point (0, -1).

Remember, you need the equation of the graph to find the specific points where it intersects the x-axis and y-axis.

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