Respuesta :

Answer:

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 .

Step-by-step explanation:

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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 basic form of an exponential function?

An exponential function is a number with an exponent. The basic form of an exponential function is shown below:

y = b^x

Two separate instances are given in the question.

  • The first one says that b > 1 and x grows in the negative direction.

Let x = - 1 and b = 2:

y = 2^(-1)

= 1/2

Let x = - 1 and b = 3:

y = 3^(-1)

= 1/3

We can notice that the value of y is decreasing.

  • The second one says that 0 < b < 1, and x grows in the negative direction.

Let x = - 1 and b = 1/2:

y = 1/2 ^(-1)

= 2

Let x = - 1 and b = 1/3:

y = 1/3 ^(-1)

= 3

We can notice that the value of y is increasing.

Thus, we have determined that 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.

Learn more about exponents here: https://brainly.com/question/11975096

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