Home > Precalculus > Exponential and Logistic Graphs

How do you graph #f(x) = 3 ln (x-2)#?

Answer 1

See below.

#f(x) =3ln(x-2)#

#f(x)# is the standard graph of #lnx# transformed ("shifted") +2 units on the #x-#axis and scaled by 3 units. These transformations can be seen by the grapgs below.

Graph 1; #y=lnx#

graph{lnx [-5, 5, 10, -10]}

Graph 2: #y=ln(x-2)#

graph{ln(x-2) [-5, 5, 10, 10, 5]}

Graph 3: #f(x)=3ln(x-2)#

plot{3ln(x-2) [-18.02, 18.02, -9, 9.02]}

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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