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Is y greater than x 2 a function?
no, but y = x2 is a function
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.
What are the advantages in using a rule for a function rather than listing function values in a table?
If the domain is infinite, it is not possible to list the function.
Is the graph of every line a function?
No. One argument of function may have only one value. So, if it has more than one value, it is not a function.
(-1,0),(-1),(-3,1),(-3,1) it is a function or not?
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.
What characteristics of the graph of a function by using the concept of differentiation first and second derivatives?
If the first derivative of a function is greater than 0 on an interval, then the function is increasing on that interval. If the first derivative of a function is less than 0 on an interval, then the function is decreasing on that interval. If the second derivative of a function is greater than 0 on an interval, then the function is concave up on that interval. If the second derivative of a function is less than 0 on an interval, then the function is concave down on that interval.
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.
Is the circle a function?
No, it is a shape rather than a function but it can be described using an algebraic function.
How does an exponential function differ from a power function graphically?
An exponential function of the form a^x eventually becomes greater than the similar power function x^a where a is some constant greater than 1.
Can an invertible function have more than one x-intercept?
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.
Is y greater than x 2 a function?
no, but y = x2 is a function
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.
In exponential growth functions the base of the exponent must be greater than 1. How would the function change if the base of the exponent were 1 How would the function change if the base of the expon?
"The base of the exponent" doesn't make sense; base and exponent are two different parts of an exponential function. To be an exponential function, the variable must be in the exponent. Assuming the base is positive:* If the base is greater than 1, the function increases. * If the base is 1, you have a constant function. * If the base is less than 1, the function decreases.
What are the advantages in using a rule for a function rather than listing function values in a table?
If the domain is infinite, it is not possible to list the function.
Is the graph of every line a function?
No. One argument of function may have only one value. So, if it has more than one value, it is not a function.
(-1,0),(-1),(-3,1),(-3,1) it is a function or not?
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.
Does the ear have any other function than hearing?
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