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'
If the point (x,y) is on the graph of the even function y = f(x) then so is (-x,y)
f(x)=2X-2
Graph that equation. If the graph pass the horizontal line test, it is an inverse equation (because the graph of an inverse function is just a symmetry graph with respect to the line y= x of a graph of a one-to-one function). If it is given f(x) and g(x) as the inverse of f(x), check if g(f(x)) = x and f(g(x)) = x. If you show that g(f(x)) = x and f(g(x)) = x, then g(x) is the inverse of f(x).
To shift a funcion (or its graph) down "a" units, you subtract "a" from the function. For example, x squared gives you a certain graph; "x squared minus a" will give you the same graph, but shifted down "a" units. Similarly, you can shift a graph upwards "a" units, by adding "a" to the function.
You can't.If f: D --> C where D is the domain of the function f and C is its codomain and D = Ø, then there are no d Є D. Therefore there are no c Є C : f(d) = c. Thus there are no ordered pairs (d, c) to graph.
Because f represents a function.
A graph is represents a function if for every value x, there is at most one value of y = f(x).
If the point (x,y) is on the graph of the even function y = f(x) then so is (-x,y)
f(x)=2X-2
No. It depends on the function f.
If you can differentiate the function, then you can tell that the graph is concave down if the second derivative is negative over the range examined. As an example: for f(x) = -x2, f'(x) = -2x and f"(x) = -2 < 0, so the function will be everywhere concave down.
Because each vertical lines meets its graph in a unique point.
Graph that equation. If the graph pass the horizontal line test, it is an inverse equation (because the graph of an inverse function is just a symmetry graph with respect to the line y= x of a graph of a one-to-one function). If it is given f(x) and g(x) as the inverse of f(x), check if g(f(x)) = x and f(g(x)) = x. If you show that g(f(x)) = x and f(g(x)) = x, then g(x) is the inverse of f(x).
The letter f represents function notation, and replaces y as a variable. f(x)=ax+b is a linear function.
It is an exponential function.
Yes, if a function ( f(x) ) is shifted upward by ( a ) units, the new function can be expressed as ( f(x) + a ). This transformation moves the entire graph of the function vertically upward without altering its shape. Consequently, every point on the graph of ( f(x) ) increases its ( y )-value by ( a ).
'Y' is a function 'f' of 'x': Y = f(x) . 'Z' is a function 'g' of 'y': Z = g [ f(x) ] .