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$49-52$ Graphing Logarithmic Functions Sketch the graph ofthe function by plotting points.$$g(x)=1+\log x$$
The curve and data table of the function $f(x)=1+\log x$
Algebra
Chapter 4
Exponential and Logarithmic Functions
Section 3
Logarithmic Functions
Missouri State University
Harvey Mudd College
Idaho State University
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so to solve this problem, Well, the first thing we can do is we can look at our normal lager than function log based 10 of X. And so if we convert this into into exponential formal, we would have 10 to me. Why is equal to is equal to X and so so this normally would have a graph that looks like remember, if we have this is X and this is why Well, normally, our graph would would reach are y valiente B zero at X is equal to X is equal to one. So this is one and our graph would look something like this. So they skipped a scheduled autograph. Remember, we still have a a. A vertical Assen tote at X is equal to zero. But we're looking for this This logger them function plus one plus one. And so what? We know that if we're adding one to any function outside of the function, well, we're just gonna shifted up a value of one. And so our sketch, our sketch of this graph here our sketch of this graph Let's try this again. This is Axe and this is why. Well, then, instead of instead of having is a zero Y is equal to zero at X equals one. Well, now we have y is equal to one at X equals one. So this is this is let's say X is equal to one right here and then we have y is equal to one, so we'll have a a point here. And so instead of our Assen tote at at X is equal to one. Will are asking tote now occurs or now we have this X is equal to X is equal to somewhere in between zero and one, Remember, remember, we still can't have a value of zero for X. So this graph looks something like like this. Remember, we still have We still have a vertical ass in tow at zero.
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