Can a function have the same output for two different input values?

Can a function have the same output for two different input values?

Each input has only one output. Remember that in a function, the input value must have one and only one value for the output. Domain and Range. There is a name for the set of input values and another name for the set of output values for a function.

What do you called for an output value of a function?

The set of input values is called the domain of the function. And the set of output values is called the range of the function.

Can different inputs have same output?

Yes… Consider the easy function f(x)= 2, a function that is a horizontal line. But if you input the same x and get two different outputs, as you would if the equation were y2 = x, this graph would not pass the Horizontal Line Test. This can be seen because if you solve for y, you get y = ±√(x).

Can a function have repeating y values?

A function is a special kind of relation. In a function, there can only be one x-value for each y-value. There can be duplicate y-values but not duplicate x-values in a function.

How do you know if its a function or not?

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

What do you call a function where the same input will always return the?

Something that always give the same output for a given input is called deterministic. – njzk2 May 1 ’16 at 19:24 2 @njzk2: True, but it’s also stateless. A stateful deterministicfunction may not give the same output for every input. Example: F(x)is defined to return trueif it’s called with the same argument as the previous call.

When do two inputs give the same output?

If you have y = x^2, then both 2 and negative 2 give you 4, but this is still a function. Or if you have a line with a slope of 0 such as y = 4, all inputs give you the same output of 4. Comment on David Severin’s post “Yes and that is what happ…”

When to evaluate the output of a function?

When we know an input value and want to determine the corresponding output value for a function, we evaluate the function. Evaluating will always produce one result because each input value of a function corresponds to exactly one output value.

Why does evaluating always produce the same result?

Evaluating will always produce one result because each input value of a function corresponds to exactly one output value. When we know an output value and want to determine the input values that would produce that output value, we set the output equal to the function’s formula and solve for the input.