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What else can I help you with?
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.
Is the circle a function?
No, it is a shape rather than a function but it can be described using an algebraic function.
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.
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.
Is it true that the function f(n)2 is asymptotically smaller than the function g(n)2?
Yes, it is true that the function f(n)2 is asymptotically smaller than the function g(n)2.
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.
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.
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.
