The table below represents the function f(x).

x 0 2 4 6 8 10 12
f(x) 4.1 5.3 6.5 7.7 8.9 10.1 11.3

if g(x) is a linear function that contains the points (6, -2) and (3, 7), which statement is true?
a.
as x approaches positive infinity, f(x) and g(x) both approach negative infinity.

b.
as x approaches positive infinity, f(x) and g(x) both approach positive infinity.

c.
as x approaches positive infinity, f(x) approaches positive infinity, and g(x) approaches negative infinity.

d.
as x approaches positive infinity, f(x) approaches negative infinity, and g(x) approaches positive infinity.

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

Find the slope of the linear equation g(x)

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.

step-by-step explanation:

the answer is 89 d

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