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$57-58=$ Graphing Logarithmic Functions Match the…

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85 Problem 86 Problem 87 Problem 88 Problem 89 Problem 90 Problem 91 Problem 92 Problem 93 Problem 94 Problem 95 Problem 96 Problem 97 Problem 98 Problem 99 Problem 100 Problem 101 Problem 102 Problem 103 Problem 104 Problem 105

Problem 57 Easy Difficulty

$57-58=$ Graphing Logarithmic Functions Match the logarithmic function with one of the graphs labeled I or II.
$$f(x)=2+\ln x$$

Answer

Graph I

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Video Transcript

So if we want to find which graph this this natural walk function course wants to. Well, the first thing we can do is look at the function y is equal to natural log of X. Remember, the natural log of X is just equal to log base e of X. So converting this so this is equal to find. So converting this into exponential form we have e to the Y is equal to X. Either the wise able to X and so so If we were to sketch this, we were to sketch this. Let's let's make this by a little bit horizontal. This is axe and this is why Well, we know that as X approaches zero Why approaches negative infinity? We know that we have that Assen toad and so and so when y is equal to when y is equal to one X is equal to eat. So at at X is equal to E. Let's say this is e here. You hear well, why is equal to one? Why is equal to one? And when exes or when y is equal to zero X is equal to one? So we have this one year And so we know that this function increases something like something like this, right? And so So the function that we have adds to to this function. Well, if we're adding to here than our function shifts upward to So we have our saying graph, but it were shifting it, shifting it upward with the same graph. So this is still accidents. Still why? But now at at one instead of zero, we have to. And at E instead of one, we have three. So now paragraph, paragraph looks something like we say we have at one. We have to three. So now our graph looks something more like something more like this. Connect the dots. Here, reconnect. These points are graph. Looks like like this. So all we did was shift this shift this up. And so this is This is the first graph. So this will be this will be graph graft number one. And so this is our solution. Graft number one

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James Stewart, Lothar Redlin, Saleem Watson

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