Question

Identify the end behavior of the function:
y= -2log4 (x-7)+3

Answer 1

The end behavior of the function y = -2log4(x-7)+3 is that it approaches negative infinity as x approaches positive infinity and approaches positive infinity as x approaches negative infinity.

Step-by-step explanation:

The end behavior of a logarithmic function is determined by the base of the logarithm. In this case, the base of the logarithm is 4.

Since the base 4 logarithm decreases as x increases, the end behavior of the function y = -2log4(x-7)+3 will approach negative infinity as x approaches positive infinity and will approach positive infinity as x approaches negative infinity.