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Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even?
If the point (x,y) is on the graph of the even function y = f(x) then so is (-x,y)
Write an exponential function and graph the function?
f(x)=2X-2
How can you tell if a equation is inverse?
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).
Is f(x) shifted downward a units?
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.
How do you graph a function with no domain?
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.
Why f represents the graph of a function?
Because f represents a function.
What is The test to determine if a graph is a function is?
A graph is represents a function if for every value x, there is at most one value of y = f(x).
Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even?
If the point (x,y) is on the graph of the even function y = f(x) then so is (-x,y)
Write an exponential function and graph the function?
f(x)=2X-2
Can the graph of a function yfx always cross the y-axis?
No. It depends on the function f.
How do you determine if the graph of a function is concave down without looking at the graph?
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.
Why does f represent the graph of a function?
Because each vertical lines meets its graph in a unique point.
What is the equation f?
The letter f represents function notation, and replaces y as a variable. f(x)=ax+b is a linear function.
How can you tell if a equation is inverse?
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).
What notation represents a function as f x instead of y?
'Y' is a function 'f' of 'x': Y = f(x) . 'Z' is a function 'g' of 'y': Z = g [ f(x) ] .
Which best describes the graph of the function f(x) 4(1.5)x?
It is an exponential function.
What does a line represent on a graph?
A point represents an infinitesimally small area in space. In the case of a line graph, and assuming the point is on the line, it represents the exact value of the linear function of x, f(x) or y, at any given value of x. The important thing to remember is that when you actually draw a dot on a graph representing a point, you're really representing an object with no dimensions.
