use the graph of the function f to solve the inequality.\n(a) f(x) < 0\n(b) f(x) ≥ 0\n(a) the solution set…

use the graph of the function f to solve the inequality.\n(a) f(x) < 0\n(b) f(x) ≥ 0\n(a) the solution set for f(x) < 0 is\n(type your answer in interval notation.)

use the graph of the function f to solve the inequality.\n(a) f(x) < 0\n(b) f(x) ≥ 0\n(a) the solution set for f(x) < 0 is\n(type your answer in interval notation.)

Answer

Explanation:

Step1: Analyze the graph for (f(x)<0)

We look at the regions where the graph of the function (y = f(x)) is below the (x -)axis ((y = 0)). From the graph, we can see that the function (y=f(x)) is below the (x -)axis when (x<-3) or (-3 < x<1).

Step2: Write the interval notation

The interval notation for (x<-3) is ((-\infty,-3)) and for (-3 < x<1) is ((-3,1)). Combining these two intervals, since the function is not defined at (x=-3) (as (x = - 3) is a vertical asymptote), the solution for (f(x)<0) is ((-\infty,-3)\cup(-3,1))

Answer:

((-\infty,-3)\cup(-3,1))