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No.
If the function has more than one x-intercept then there are more than one values of x for which y = 0. This means that, for the inverse function, y = 0 should be mapped onto more than one x values. That is, the inverse function would be many-to-one.
But a function cannot be many-to-one. So the "inverse" is not a function. And tat means the original function is not invertible.
What else can I help you with?
How can you tell by looking at a graph if the represntation is a function?
if a certain abscissa corresponds to more than one ordinate, then it is not a function.
For every input there must be only one output for it to be a function What if there was more than one output to an input is it still then a function?
No, it is not. A function can only have one output per input. (If it has more than one, it is still maths, but it cannot be called a "function". It would probably be called an equation or a formula etc...).
Can a function have more than one output per one input?
No. A function has only one output per input.
Does a sideways parabola represent a function?
No, it does not. You can tell if something is a function or not by using the vertical line test. If there is more than one point at any vertical line, it is not a function.
A function may assign more than one output value to one of its input values?
false
In a function can an input have more than one outputs?
No. If an input in a function had more than one output, that would be a mapping, but not a function.
Why does line parallel to the x-axis will intersect the graph of a function once at most if the function has an inverse?
Suppose you have a function y = f(x) which has an inverse. Therefore there exists a function g(y) such that g(y) = x whenever y = f(x). Now suppose a line parallel to the x axis, y = k (some constant), intersects the graph of y = f(x) at more than one point: say x1 and x2. That means that k = f(x1) and k = f(x2). Now, in the context of the function g, this means that [from the first intersection] g(k) = x1 and [from the first intersection] g(k) = x2 But the function g cannot map k to two different points. That is the contradiction which precludes the possibility of a horizontal line intersecting an invertible function more than once.
When is it not a function?
A function is not a function if it passes through the vertical line test more than once, and it is not linear or a quadratic.
Can a function have more than one input?
yes
Can a polynomial have more zeros than the highest degree of the function?
no a plynomial can not have more zeros than the highest (degree) number of the function at leas that is what i was taught. double check the math.
Does a program exist with more than one main function?
No, it does not.
What function do more than half the robots perform?
welding
What are the lipid function?
they contain more energy than a carbohydrate
Can a function have more than one y-intercept?
No. Use the vertical line test along the Y axis and if the line is crossed more than once, you know that it isn't a function.
How do you know when a graph is not a function?
A function cannot have any value of x mapped to more than one vaue of y. So, if any line parallel to the y-axis meets the graph at more than 1 points it is not a function.
Can functions have more than one answer?
No. In fact, a function can't have an answer at all, because it's not a question.An equation has an answer, and possibly more than one.In general, an equation is in the form of (one function) = (another function).(One of the functions may be zero or a constant.)
How can you tell by looking at a graph if the represntation is a function?
if a certain abscissa corresponds to more than one ordinate, then it is not a function.
