y = 5cos(x - π)
The function y = x is the graph that passes from the points (-1, -1), (0, 0), and (1, 1) The function y = 4x is the graph that passes form the points (-1, -4), (0, 0), and (1, 4) Sketch these graphs in a same x and y coordinate system, and you can see both of them
A vertical line test can be used to determine whether a graph is a function or not. If a vertical line intersects the graph more than once, then the graph is not a function.
how you get x to equal y. it is usually in a graph
The same as you would graph x=y. If you take the square root of both sides you get x=y __________________________ You also need to add the graph of x=-y, since x2=y2 is the same as x=+/-y. For example, (-1,1) is a solution to this equation since (-1)2=1=(1)2. You can see that x is not a function of y (and y is not a function of X) because for each value of x that satisfies the equation, there are two values of y possible. For example, (-1,1) and (-1, -1) both satisfy the equation.
No. It depends on the function f.
In general the function and it inverse are not the same and do not have the same graph. If we look at a special function f(x)=x, it is equal to its inverse and the graph is the same. Think of the inverse of a function as changing all the x's to y's and vice versa. Well, in the function f(x)=x, all the x's are already y's and vice versa so it is its own invese.
No, a relation is not a function if its graph intersects the Y-axis twice. A function is defined as a relation in which each input (x-value) has exactly one output (y-value). If a graph intersects the Y-axis at two points, it means there are two different y-values for the same x-value, violating the definition of a function.
The function y = x is the graph that passes from the points (-1, -1), (0, 0), and (1, 1) The function y = 4x is the graph that passes form the points (-1, -4), (0, 0), and (1, 4) Sketch these graphs in a same x and y coordinate system, and you can see both of them
A graph has two axes, X and Y. A function can be seen on the graph based on the formula with X and Y representing certain properties in the formula.
If the point (x,y) is on the graph of the even function y = f(x) then so is (-x,y)
A vertical line test can be used to determine whether a graph is a function or not. If a vertical line intersects the graph more than once, then the graph is not a function.
When you replace ( x ) with ( ax ) in the function ( f(x) ), the graph of the function undergoes a horizontal scaling. If ( a > 1 ), the graph compresses towards the y-axis; if ( 0 < a < 1 ), the graph stretches away from the y-axis. The overall shape of the graph remains the same, but the x-coordinates of all points on the graph change according to the factor ( a ).
If a graph is a function, it will always have y=... or x=... (or anoher letter equals an equation) for example y= 3x-12 is a function
To accurately compare the function shown on the graph with the function ( y = 5x + 5 ), one would need to analyze the graph's slope and y-intercept. If the graph has a slope of 5 and a y-intercept of 5, then it is identical to the function ( y = 5x + 5 ). If either the slope or the y-intercept differs, then the graph represents a different linear function. Without seeing the specific graph, it's impossible to make a definitive comparison.
sine graph will be formed at origine of graph and cosine graph is find on y-axise
The graph of the function y = (sin x)^2 has the same amplitude 1, and the same period 2pi, as the graph of the function y = sin x. The only difference between them is that the part of the graph of y = sin x which is below the x-axis is reflected above x axis. In order to graph the function y = (sin x)^2, we need to find the values of (x, y) for the five key points, where 0 ≤ x ≤ 2pi. Values of (x, y) on y = (sin x)^2: x = 0, y = 0 x = pi/2, y = 1 x = pi, y = 0 x = 3pi/2, y = 1 x = 2pi, y = 0 Plot these five key points and connect them with a smooth curve and graph one complete cycle of the given function.
Y=X^2 is a function for it forms a parabola on a graph.