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The greatest integer function and absolute value function are both examples of functions that can be defined as what?
Both the Greatest Integer Function and the Absolute Value Function are considered Piece-Wise Defined Functions. This implies that the function was put together using parts from other functions.
The greatest integer function shown below is define so that it produces the greatest integer what or equal to x?
Less than
Is the absolute value function and the greatest integer function one to one?
Neither of the two are one-to-one
Is the inverse of an exponential function the quadratic function?
No. The inverse of an exponential function is a logarithmic function.
What is the inverse function of -6?
-6 is a number, not a function and so there is not an inverse function.
What is the greatest integer function of -50.95?
-51
What is greatest integer function of 0.7?
The greatest integer function, often denoted as ⌊x⌋, gives the largest integer less than or equal to x. For 0.7, the greatest integer is 0, since 0 is the largest integer that is less than or equal to 0.7. Thus, ⌊0.7⌋ = 0.
Is the greatest integer function a continuous funcion?
No. It has a discontinuity at every integer value.
Which integer is equal to additive inverse?
The additive inverse of an integer ( x ) is the integer that, when added to ( x ), results in zero. This integer is (-x). For example, the additive inverse of 5 is -5, and the additive inverse of -3 is 3.
Is the greatest integer function many to one?
Yes, the greatest integer function, often denoted as ⌊x⌋, is many-to-one. This means that multiple input values can produce the same output. For example, both 2.3 and 2.9 yield an output of 2 when passed through the greatest integer function, as both round down to the greatest integer less than or equal to the input. Thus, it is not a one-to-one function.
What is an inverse integer?
An inverse integer typically refers to the additive inverse of an integer, which is the number that, when added to the original integer, results in zero. For example, the additive inverse of 5 is -5, as 5 + (-5) = 0. In a broader mathematical context, the term can also refer to the multiplicative inverse, which is a number that, when multiplied by the original integer, results in one; for instance, the multiplicative inverse of 5 is 1/5.
The greatest integer function and absolute value function are both examples of functions that can be defined as what?
Both the Greatest Integer Function and the Absolute Value Function are considered Piece-Wise Defined Functions. This implies that the function was put together using parts from other functions.
The greatest integer function shown below is define so that it produces the greatest integer what or equal to x?
Less than
Is the absolute value function and the greatest integer function one to one?
Neither of the two are one-to-one
How is integer subtraction related to integer addition?
they are inverse functions
Is the greatest integer function x integrable over the real line?
yes
Is the multiplicative inverse of a rational number an integer?
No, it is not. 3/5 is rational and its multiplicative inverse is 5/3 which is not an integer.
