0
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.
Wiki User
∙ 10y ago
Add your answer:
Earn +20 pts
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 are the lipid function?
they contain more energy than a carbohydrate
What function do more than half the robots perform?
welding
What function do more than half of robots perform?
they are strong
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.)
