What can you say about the end behavior of the function f(x)=log2(4x+8)+16
One end increases and one end decreases
Both ends increase
Both ends decrease
Or one end decreases and one end approaches a constant

Respuesta :

One end increases and one end decreases because log2=0.3 and if you multiply that by the leading coefficient, 4, you will get 1.2. Because the new leading coefficient, 1.2, is positive, one end goes up and another end goes down. 

Option: A. is correct.   The given logarithmic function shows behavior that  one end of the function increases and one end of the function decreases.

What is logarithmic function?

Logarithmic function is the "inverse function of Exponential function. It means logarithms of given number x is the exponent to which another fixed number, the base b is raised, to produce the number x".

According to the question,

f(x) = log2(4x+8)+16

One end function increases and one end of function decreases because log2 =0.3. If you multiply with leading coefficient 4, we will get 1.2 because the new leading coefficient 1.2 is positive.  One end of function  goes up and another end of function goes down.

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