Question

F(x)=-3x²-24x-45 Write your answer using interval no

Answer 1

The given function is f(x) = -3x² - 24x - 45. The intervals where the function is negative are (-∞, -5) and (-3, ∞).

Step-by-step explanation:

The given function is f(x) = -3x² - 24x - 45. To find the intervals where the function is negative, we need to determine when the function is less than 0. We can do this by solving the quadratic equation -3x² - 24x - 45 = 0. The function is negative in the intervals where it crosses the x-axis or has real roots.

Using the quadratic formula, we find the roots to be x = -5 and x = -3. Therefore, the function is negative for x < -5 and -3 < x. The intervals where the function is negative are (-∞, -5) and (-3, ∞).