Because f represents a function.
Because each vertical lines meets its graph in a unique point.
the graph of a quadratic function is a parabola. hope this helps xP
MATH 1003?
Odd Function
A function f(x) is even if f(-x) = f(x). A graph of f(x) would be symmetric about the y-axis (vertical symmetry about x=0). f(x) need not be "well-behaved" or even continuous, unlike the examples given in Wikipedia article on "Even and odd functions". The article does make this clear - under "Some facts".
A graph is represents a function if for every value x, there is at most one value of y = f(x).
if the question is why is it labelled as f(x) ? it means the function (the 'f') at a certain x value. saying f(x) is said as 'f at x'. it's the same as saying 'function at x'
A graph represents a function if and only if every input generates a single output.
If the graph is a function, no line perpendicular to the X-axis can intersect the graph at more than one point.
If the point (x,y) is on the graph of the even function y = f(x) then so is (-x,y)
If the point (4, -5) is on the graph of the function F(x), then the point (-5, 4) must be on the graph of the inverse function F⁻¹(x). This is because the inverse function swaps the x and y coordinates of the original function's points. Therefore, for every point (a, b) on F(x), the corresponding point (b, a) will be on F⁻¹(x).
If the function is a straight line equation that passes through the graph once, then that's a function, anything on a graph is a relation!
To find F(-3) on a graph, first locate the x-axis and identify the point where x equals -3. Then, move vertically from this point until you intersect the graph of the function F. The y-coordinate of this intersection point represents F(-3). Make sure to clearly mark this point for reference.
This graph fails the vertical line test at x = 3This graph is not the graph of a function.
The expression ( f(x) - 5 ) represents a transformation of the function ( f(x) ). Specifically, it indicates a vertical shift of the graph of ( f(x) ) downward by 5 units. The overall type of function remains the same as ( f(x) ); if ( f(x) ) is linear, quadratic, etc., then ( f(x) - 5 ) is also of that same type.
To determine if a line on a graph represents a function, you can use the vertical line test. If a vertical line intersects the graph at more than one point, then the graph does not represent a function, as it would indicate that a single input (x-value) corresponds to multiple outputs (y-values). Conversely, if every vertical line crosses the graph at most once, the graph represents a function.
f(x)=2X-2