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Which statement correctly compares functions f and g?


function f function g

Function g is a decreasing exponential function with a y-intercept of 5 and no x-intercept.

A.

They have different end behavior as x approaches -∞ but the same end behavior as x approaches ∞.

B.

They have different end behavior as x approaches -∞ and different end behavior as x approaches ∞.

C.

They have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞.

D.

They have the same end behavior as x approaches -∞ and the same end behavior as x approaches ∞.

Sagot :

Answer:

They have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞

Step-by-step explanation:

They have different end behavior as x approaches -∞ but the same end behavior as x approaches ∞. Option A is correct.

Given that,
Function g is a decreasing exponential function with a y-intercept of 5 and no x-intercept.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

What is exponential function?

The function which is in format f(x) = [tex]e^X[/tex]   where, a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).  

Here, the solution shown in the graph implies that they have different end behavior as x approaches -∞ but the same end behavior as x approaches ∞.

Thus, they have different end behavior as x approaches -∞ but the same end behavior as x approaches ∞. Option A is correct.

Learn more about function here:

brainly.com/question/21145944

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