When b > 1, as x grows in the negative direction, y decreases. When 0 < b < 1, as x grows in the negative direction, y increases.
An object is said to moves in the negative direction when it is said to posses a negative velocity.
Note that the exponential function is:
y = b^x
Since b > 1 and x grows in the negative direction.
So Let x = - 1 and b = 2:
y = 2^(-1)
= 1/2
Let x = - 1 and b = 3:
y = 3^(-1)
= 1/3
We can see that that the value of y is decreasing.
The second instance is that 0 < b < 1, and x grows in the negative direction.
So take x = - 1 and b = 1/2:
y = 1/2 ^(-1)
= 2
If x = - 1 and b = 1/3:
y = 1/3 ^(-1)
= 3
We can see that the value of y is increasing.
Therefore, When b > 1, as x grows in the negative direction, y decreases. When 0 < b < 1, as x grows in the negative direction, y increases.
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