How do you graph #h(x)=ln(x+1)#?

1 Answer
Alan N.
Jan 2, 2017

#h(x)# is the standard function #ln(x)# shifted (transformed) one unit left (negative) on the #x#-axis

Explanation:

#h(x) = ln(x+1)#

#ln(x)# is defined for #x>0 -> h(x)# is defined for #x+1>0#
#:. h(x)# is defined for #x> -1#

#ln(1) = 0 -> h(x) = 0# for #x+1 = 1#
#:. h(x) = 0# for #x=0#

#h(x)# is the standard function #ln(x)# shifted (transformed) one unit left (negative) on the #x#-axis

The graph of #h(x)# is shown below:

graph{ln(x+1) [-10, 10, -5, 5]}

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