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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
Is the greatest integer function a continuous funcion?
No. It has a discontinuity at every integer value.
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.
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
How is integer subtraction related to integer addition?
they are inverse functions
Is the absolute value function and the greatest integer function one to one?
Neither of the two are one-to-one
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.
Does every integer have a multiplicative inverse?
No, it does not.
What is the relationships between inverse functions?
The inverse of the inverse is the original function, so that the product of the two functions is equivalent to the identity function on the appropriate domain. The domain of a function is the range of the inverse function. The range of a function is the domain of the inverse function.
Is the inverse of an exponential function the quadratic function?
No. The inverse of an exponential function is a logarithmic function.
