Which statement is true of the function f (x) = - 3x? Select three options.

The function is always increasing.

The function has a domain of all real numbers.

The function has a range of

The function is decreasing.

The domain is all real numbers.

The range is all real numbers.

I can't read your other options.

Step-by-step explanation:

f (x) = -3x is a linear function.

I know this because it is in the form of f (x) = mx+b.

The degree is also 1. If the degree is 1 then the polynomial is linear.

Anyways it is in the slope-intercept form of f (x) = mx+b where m is the slope and b is the y-intercept.

Comparing the following two:

f (x) = mx+b

f (x) = -3x

Tells us the slope is - 3 while the y-intercept is 0.

If the slope is negative, the function decreases.

If the slope is positive, the function increases.

If the slope is 0, then it neither increases nor decreases.

So since - 3 well is negative, then the function decreases.

Since linear functions are continuous and ours is either decreasing/increase (decreasing), then the function hits every x and y value so the domain and range is all real numbers.