parent function
[parent function|parent function] is the base logarithmic function f ( x ) = log b ( x ) with domain ( 0 , ∞ ) , range ( − ∞ , ∞ ) , vertical asymptote x = 0 , and x- intercept at ( 1 , 0 ) .
Definition
parent function is the base logarithmic function f ( x ) = log b ( x ) with domain ( 0 , ∞ ) , range ( − ∞ , ∞ ) , vertical asymptote x = 0 , and x- intercept at ( 1 , 0 ) . It is reflected about the y -axis when transformed to f ( x ) = log ( − x ) .
Mechanism
parent function To reflect the parent function f ( x ) = ( 1 4 ) x about the x- axis, multiply f ( x ) by − 1 to obtain g ( x ) = − ( 1 4 ) x . Transformations of the parent function y = log b ( x ) behave similarly to those of other functions.
Comparison
parent function The parent function is increasing since b = 10 is greater than one.