Respuesta :

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.

What is the negative direction about?

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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