Question

A function, f(x), has a slope of 2 and contains the point (6,4). Which of the following represents the interval on which the output of the function is positive?

A) f(x) is positive when x > 0.
B) f(x) is positive when x > 4.
C) f(x) is positive when x < 8.
D) f(x) is positive for all real numbers.

Answer 1

The output of the function is positive when x > 4, as the function has a positive slope and increases from the given point (6,4). Hence, B) is correct.

Step-by-step explanation:

To find the interval on which the output of the function is positive, we need to consider the slope and point given. The slope is 2, which means for every 1 unit increase in x, the output increases by 2 units.

The point (6,4) is on the function, meaning when x = 6, f(x) = 4. From this information, we can conclude that the output of the function is positive when x > 4, as the function has a positive slope and increases from the given point.

Therefore, the correct option is B) f(x) is positive when x > 4.