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Consider the graph of the function f(x)=logx.
Match each transformation of function f with a feature of the transformed function.


Consider The Graph Of The Function Fxlogx Match Each Transformation Of Function F With A Feature Of The Transformed Function class=

Sagot :

Transformation of function f with a feature of the transformed function.

  • g(x)=-f(x-3) is vertical asymptote of x=3
  • j(x)= f(x+3) is x-intercept of (-2,0)
  • h(x)=3f(x)-3 is domain of (0, ∞)

What is asymptote?

An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity. There are three types of asymptotes: vertical, horizontal and oblique

Given function is : f(x)= log x

  • g(x)= -f(x+3)= - log(x+3)

g(x)=-f(x-3) is vertical asymptote of x=3

  • j(x)= f(x+3) = log (x+3) then

j(x)= f(x+3) is x-intercept of (-2,0)

  • Domain: As (0,∞),{x | x>0}

h(x)=3f(x)-3 is domain of (0, ∞)

Learn more about  asymptote here:

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