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, ∞)
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