The graph of y 2 x contains the following points: (0,0) (1,1) (-1,1) (2,4) (-2,4) (3,9) (-3,9)
The zeros of a polynomial represent the points at which the graph crosses (or touches) the x-axis.
Easy. Same thing as the graph of f(x) = x^2 + 1 which have NO intercept.
y=x-2
The x goes first. If you have trouble remembering which way round it is, remember "the monkey runs along the ground (x) then up the tree (y)". So (2,5) means "two along and five up" or "x:2, y:5".
y = 0.5x + 1 x = -2, y = 0 x = -1, y = 0.5 x = 0, y = 1 x = 1, y = 1.5 x = 2, y = 2 Plot the points in the coordinate system, and draw the line, which is the line of the given equation.
In two dimensions, the infinitely many points with coordinates of the form (x, x-2) where x is any number.
x=y+2 y=x-2 The y value at the x axis (x=0) will be -2, so graph (0, -2). Let's calculate a few more points by varying x and calculating y: if x=2, y=2-2=0 (2, 0) similarly: (1, -1) (5, 3) Graph those points, then draw a line connecting them all. That's the graph of x=y+2.
Whether the graph has 0, 1 or 2 points at which it crosses (touches) the x-axis.
two at x = -2 and x = -1
2
A pair of two points (2D) or 3 points (3D) written as (x,y) or (x,y,z).
To graph the equation (2x = 2), first simplify it to (x = 1). This is a vertical line at (x = 1), meaning it crosses the x-axis at the point ((1, 0)). You can choose any two points along this line, such as ((1, 2)) and ((1, -3)), to illustrate that the value of (x) remains constant at 1 regardless of (y). Plot these points and draw a vertical line through them to complete the graph.
A linear graph contains both an x and y axis.
It is a line. There are many ways to graph it using intercepts etc. But, you can pick some x points, plug them in your equation, and find the corresponding y point, The graph those (x,y) values
if the linear equation is x+y=1 means we are having the graph points (1,0) (2,-1)....using this graph we can draw the graph
To find the zeros of the polynomial from the given graph, identify the points where the graph intersects the x-axis. These intersection points represent the values of x for which the polynomial equals zero. If the graph crosses the x-axis at specific points, those x-values are the zeros of the polynomial. If the graph merely touches the x-axis without crossing, those points indicate repeated zeros.
If: x-y = -2 then the x intercept is -2 and the y intercept is 2 So the points are: (-2, 0) and (0, 2)