Question

Which statements about the graph of the function f(x) = - x ^ 2 - 4x + 2 are true? Select three options 1- The domain is \ x|x<=-2\ 2- The range is \ y|y<=6\ 3- The function is increasing over the interval (- infty,-2) 4-The function is decreasing over the interval (-4, infty) 5-The function has a positive y-intercept

Answer 1

In order to know which of these statements is true about the function first we need to graph the function as follows:

graph funtction f(x) = - x ^ 2 - 4x + 2

Looking at the above graph of the function we can check that the corret statements are the following:

2. The range is {y|y ≤ 6. This is correct. Is true because as we can see at the graph the range is the interval (-∞,6].

3. The function is increasing over the interval (- infty,-2). This is correct.

5. The function has a positive y-intercept is correct becuase according to the graph the value of y-intercept is 2.