Answer:
Option C. As x approaches positive infinity, f(x) approaches positive infinity, and g(x) approaches negative infinity.
Step-by-step explanation:
we know that
Observing the table
The function f(x) is a increasing function
As the value of x increases, the value of f(x) increases
so
As x approaches positive infinity, f(x) approach positive infinity
<em>Find the slope of the linear equation g(x)</em>
The formula to calculate the slope between two points is equal to
we have the points (6, -2) and (3, 7)
substitute
The slope of the linear equation g(x) is negative
That means ----> Is a decreasing function
As the value of x increases, the value of g(x) decreases
so
As x approaches positive infinity, g(x) approach negative infinity
therefore
As x approaches positive infinity, f(x) approaches positive infinity, and g(x) approaches negative infinity.
