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In simple words, a one-to-one function is a function such that for every input there is a unique output. An onto function is such that ALL the elements in the out are used, something which is not necessary for a one-to-one function.
Draw a set A, which contains 3 elements, a, b, c and d. Draw another set B, containing elements e, f, g and h.
Make an arrow from "a" to "d", "b" to "d", then "c" to "e" and "d" to "f".
Draw the two sets A and B again.
This time make an arrow from "a" to "d", "b" to "d", then "c" to "e" and "d" to "e". The fact that "f" in set B has not been used, DOES NOT makes this function an onto function.
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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.
What number is equal to one third of the difference between 360 and 135?
To find one third of the difference between 360 and 135, we first need to calculate the difference: 360 - 135 = 225. Next, we find one third of 225 by dividing it by 3: 225 ÷ 3 = 75. Therefore, the number that is equal to one third of the difference between 360 and 135 is 75.
What is a common difference in algebra?
Common difference, in the context of arithmetic sequences is the difference between one element of the sequence and the element before it.
What distinguishes a linear function from other functions?
A linear function is one in which the power of the function is only one. So, the graph of it would be a straight line. For example, x2 + x = y is not linear, because the highest power is 2. A main difference is, non linear functions have curves, where as a linear function is a straight line, with the exception of when the function has a power of 0, and it is technically a straight line.
What is the difference between algebra one and algebra two?
A harder version of algebra 1
