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Q: A value is in the domain of a function if there is a times n on the graph at that x-value?
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Domain of function?

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.


What does domain mean in medieval times?

Domain is the X-access on the graph


Given the function below what is the value of the discriminant and how many times does the graph of this function intersect or touch the x-axis?

Discriminant = 116; Graph crosses the x-axis two times


What is the domain range asymptote and intercept of the equation y equals 4 times 2 exponent x?

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)


What is the maximum number of times the graph of the quadratic function can cross the x-axis?

Two.


Can the domain of a function be the null set?

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.


How many times will the graph of a quadratic function cross or touch the x axis if the discriminant is zero?

Once.


If the discriminant is zero the graph of a quadric function will cross or touch the x axis how many times?

It will touch it once.


How to identify the graph of a function?

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)


How many times will the graph of a quadratic function cross or touch the x-axis if the discriminant is positive?

It will cross the x-axis twice.


If the discriminant is zero the graph for a quadric function will cross or touch the x axis how many times?

Once and the roots are said to be equal.


What are distinct zeros?

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.