<transcript><audio_6>exponential X the function y equals say 6 to the X right I would graph these points 0 1 1 6 2 36 that's what our graph but exponential curve so it'd be exponential be something like this right</transcript><transcript><audio_7>here and would curve up nicely nice and quick and here I'm just gonna hold on to this point it's the point 0 1 that's our exponential curve or y equals 6 to the X but our logarithmic curve is reflected</transcript><transcript><audio_8>over the line y equals x so we essentially take all of our x and y values and reverse them so said of 0 1 it's not going to be 1 0 here and a logarithm the curve is it would go like this it's gonna be a nice reflection and the</transcript><transcript><audio_9>two asymptotes that we're dealing with with the exponential function it's the x-axis we're never going if we go backwards thing could be going down down down you're dividing by 6 here you're never going to reach 0 so that was our asymptote to begin with it's a line the approach but never reach now our</transcript><transcript><audio_10>asymptote our boundary is actually the y-axis so our logarithm will approach the y-axis but never actually hit it perfectly and I shall look at the logarithmic point here this tells me</transcript><transcript><audio_11>that that the result is 1 when the exponent is 0 it's counting this situation backwards so instead of 0 1 is now 1 0 the result is 1 when the zero the result of six when the exponent or power is one and the result of this</transcript><transcript><audio_12>36 when the power is two why do I show you all this because it helps us see that the Assam to Assam to asymptote is the line x equals zero this vertical line that the correct answer is in fact choice one but let's look at the rest of</transcript> exponential X the function y equals say 6 to the X right I would graph these points 0 1 1 6 2 36 that's what our graph but exponential curve so it'd be exponential be something like this right here and would curve up nicely nice and quick and here I'm just gonna hold on to this point it's the point 0 1 that's our exponential curve or y equals 6 to the X but our logarithmic curve is reflected over the line y equals x so we essentially take all of our x and y values and reverse them so said of 0 1 it's not going to be 1 0 here and a logarithm the curve is it would go like this it's gonna be a nice reflection and the two asymptotes that we're dealing with with the exponential function it's the x-axis we're never going if we go backwards thing could be going down down down you're dividing by 6 here you're never going to reach 0 so that was our asymptote to begin with it's a line the approach but never reach now our asymptote our boundary is actually the y-axis so our logarithm will approach the y-axis but never actually hit it perfectly and I shall look at the logarithmic point here this tells me that that the result is 1 when the exponent is 0 it's counting this situation backwards so instead of 0 1 is now 1 0 the result is 1 when the zero the result of six when the exponent or power is one and the result of this 36 when the power is two why do I show you all this because it helps us see that the Assam to Assam to asymptote is the line x equals zero this vertical line that the correct answer is in fact choice one but let's look at the rest of
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