use the graph of the quadratic function f to determine the solution.\n(a) solve ( f(x)>0 ).\n(b) solve (…

use the graph of the quadratic function f to determine the solution.\n(a) solve ( f(x)>0 ).\n(b) solve ( f(x) leq 0 ).\n(a) the solution to ( f(x)>0 ) is\n(type your answer in interval notation.)

use the graph of the quadratic function f to determine the solution.\n(a) solve ( f(x)>0 ).\n(b) solve ( f(x) leq 0 ).\n(a) the solution to ( f(x)>0 ) is\n(type your answer in interval notation.)

Answer

Explanation:

Step1: Identify the x - intercepts

The x - intercepts of the quadratic function (y = f(x)) are (x=-3) and (x = 1). The quadratic function is of the form (y=a(x + 3)(x - 1)), and since the parabola opens upwards ((a>0)).

Step2: Determine where (f(x)>0)

For a quadratic function (y = f(x)=a(x - x_1)(x - x_2)) ((a>0), (x_1=-3), (x_2 = 1)), the function (y=f(x)>0) when (x) is in the intervals ((-\infty,x_1)\cup(x_2,\infty)).

Answer:

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