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Which of the following functions are increasing from right to left and decreasing from left to right?

1) Linear functions
2) Quadratic functions
3) Exponential functions
4) Logarithmic functions

User Enablor
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Final answer:

Logarithmic functions generally increase from right to left and decrease from left to right. Linear, quadratic, and exponential functions do not display this behavior because their overall direction of growth or decay is consistent across their domains.

Step-by-step explanation:

The question is asking about the behavior of different types of functions in terms of their increasing or decreasing nature when looked at from left to right, and vice versa. From right to left, a function would be considered increasing if as we move towards the left on the x-axis, the y-values rise. Conversely, a function is decreasing from left to right if as we move towards the right on the x-axis, the y-values fall.

The types of functions that increase from right to left and decrease from left to right are neither linear functions, nor exponential functions, since both types are either always increasing or always decreasing depending on the sign of their highest degree coefficient or the base of the exponent, respectively. Similarly, quadratic functions can be ruled out as they either open upwards or downwards, thus they either increase or decrease on both sides from the vertex. However, logarithmic functions generally increase from right to left and decrease from left to right, especially considering their inverses -- the exponential functions -- exhibit the opposite behavior.

User Atymic
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