point
9
To find the area of a circle using the circumference, you need to use the formula Area=Circumference squared divided by four times pi. For this type of equation, pi would be equal to 3.14.
Legs are 'x' and '4x'.Hypotenuse is sqrt(17x2) = x sqrt(17)Perimeter = x [ 5 + sqrt(17) ]
six times six times six. Six times Six is 36. 36 times 6 is 216. 216
pi times 1/3 times the radius squared times the height
The domain of a function encompasses all of the possible inputs of that function. On a Cartesian graph, this would be the x axis. For example, the function y = 2x has a domain of all values of x. The function y = x/2x has a domain of all values except zero, because 2 times zero is zero, which makes the function unsolvable.
Domain is the X-access on the graph
Discriminant = 116; Graph crosses the x-axis two times
y = 4(2x) is an exponential function. Domain: (-∞, ∞) Range: (0, ∞) Horizontal asymptote: x-axis or y = 0 The graph cuts the y-axis at (0, 4)
Two.
Yes, although it might not be a very useful function. However, there are times when you are studing properties of a set of functions and it is quite possible that a member of a set of functions has a null domain.
Once.
It will touch it once.
Every function is a graph. So the only thing is to distinguish functions from other graphs. One formal convention actually define function as its graph, and a graph is the set of all ordered pairs (x, y) A function is a special graph where it's set set of all ordered pairs (x, y) where y = f(x). f(x) is unique (or rather one goes in only one comes out), meaning for each x, there is one and only one y. (Note: For each y, there might be many x) So to test this, we use a "vertical line test". The idea is for all x in the domain of f, say A, we draw a vertical line (x = a for some a in A), it only intersect the graph of f one and only once. Of course, there are infinity many points, you have to do it infinitly many times. Therefore, you can do it generacally: Let A:= dom f For all a in A, f is a function if and only if (x = a implies f(x) = f(a) and nothing else)
It will cross the x-axis twice.
Once and the roots are said to be equal.
The zeros of f(x), a function of the variable x, are those values of x for which f(x) = 0. These are points at which the graph of f(x) crosses (or touches) the x-axis. Many functions will do so several times over the relevant domain and the values (of x) are the distinct zeros.