Which statement correctly compares functions f and g? function f function g An exponential function passes through (minus 1, 5), and (2, minus 1.5) intercepts axis at (1, 0), and (0, 2) 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 -∞ and different end behavior as x approaches ∞. B. They have different end behavior as x approaches -∞ but the same 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 ∞.

A statement correctly compares functions f and g is that: C. they have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞.

What is a function?

A function can be defined as a mathematical expression that defines and represents the relationship between two or more variable, which is typically modelled as input (x-values) and output (y-values).

The types of function.

In Mathematics, there are different types of functions and these include the following;

Periodic function

Inverse function

Modulus function

Signum function

Piece-wise defined function.

Function g is represented by the following table and a line representing these data is plotted in the graph that is shown in the image attached below.

x -1 0 1 2 3 4

g(x) 24 6 0 -2

Based on the line, we can logically deduce the following points:

y-intercept approaches -2.43 to 24.86.

x-intercept approaches negative infinity (-∞) to infinity (∞).

This ultimately implies that, a statement correctly compares functions f and g is that both functions have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞.

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