Question
write an exponential equation that passes through 1,0 and 0.1,1 using the y=_^x
Answers
GPT 3.5
The general form of an exponential equation is y = a^x. To find the specific equation that passes through the points (1,0) and (0.1,1), we need to substitute these points into the equation.
Starting with the point (1,0):
0 = a^1
0 = a
So, a = 0.
Using the point (0.1,1):
1 = 0^0.1
1 = 1
Since a equals to 0, we can substitute this value back to the general form of the exponential equation:
y = 0^x
Therefore, the exponential equation that passes through the points (1,0) and (0.1,1) is y = 0.
Starting with the point (1,0):
0 = a^1
0 = a
So, a = 0.
Using the point (0.1,1):
1 = 0^0.1
1 = 1
Since a equals to 0, we can substitute this value back to the general form of the exponential equation:
y = 0^x
Therefore, the exponential equation that passes through the points (1,0) and (0.1,1) is y = 0.
you can not change anything but a
GPT 3.5
Apologies for the mistake. Let's try this again.
The general form of an exponential equation is y = a^x. To find the specific equation that passes through the points (1,0) and (0.1,1), we need to substitute these points into the equation.
Using the point (1,0):
0 = a^1
0 = a
So, a = 0.
Now, using the point (0.1,1):
1 = 0^0.1
1 = 0
As we previously found, a = 0.
Therefore, the correct exponential equation that passes through the points (1,0) and (0.1,1) is y = 0^x, which simplifies to y = 0.
The general form of an exponential equation is y = a^x. To find the specific equation that passes through the points (1,0) and (0.1,1), we need to substitute these points into the equation.
Using the point (1,0):
0 = a^1
0 = a
So, a = 0.
Now, using the point (0.1,1):
1 = 0^0.1
1 = 0
As we previously found, a = 0.
Therefore, the correct exponential equation that passes through the points (1,0) and (0.1,1) is y = 0^x, which simplifies to y = 0.
give an exponential equation
GPT 3.5
My apologies for the confusion. Let's find the correct exponential equation that passes through the points (1,0) and (0.1,1).
We know that the general form of an exponential equation is y = a^x.
From the point (1,0):
0 = a^1
0 = a
Therefore, a = 0.
Substituting a = 0 into the exponential equation, we get:
y = 0^x
y = 0
That equation simplifies to y = 0, but 0 raised to any power is still 0. So this means the equation is y = 0 for any x value.
We know that the general form of an exponential equation is y = a^x.
From the point (1,0):
0 = a^1
0 = a
Therefore, a = 0.
Substituting a = 0 into the exponential equation, we get:
y = 0^x
y = 0
That equation simplifies to y = 0, but 0 raised to any power is still 0. So this means the equation is y = 0 for any x value.