Does the graph of the function y=3x−1−−−−√3

show that the function is increasing or decreasing?

Option 1: increasing

Option 2: decreasing

(1 point)
The correct answer is option

1 answer

To determine whether the function \( y = 3x - \sqrt{3} \) is increasing or decreasing, we can look at the coefficient of \( x \) in the function.

The function can be rewritten in its linear form as:

\[ y = 3x - \sqrt{3} \]

Here, the coefficient of \( x \) is \( 3 \), which is positive.

When the slope (the coefficient of \( x \)) is positive, the function is increasing.

Thus, the graph of the function shows that the function is increasing.

The correct answer is Option 1: increasing.