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:
Edge2020
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.
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