Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

]The graph of the function f(x) = –(x 6)(x 2) is shown below. On a coordinate plane, a parabola opens down. It goes through (negative 6, 0), has a vertex at (negative 4, 4), and goes through (negative 2, 0). Which statement about the function is true? The function is increasing for all real values of x where x < –4. The function is increasing for all real values of x where –6 < x < –2. The function is decreasing for all real values of x where x < –6 and where x > –2. The function is decreasing for all real values of x where x < –4.

Sagot :

semsee45

Answer:

A)  The function is increasing for all real values of x where x < -4.

Step-by-step explanation:

The graph of the quadratic function f(x) = -(x + 6)(x + 2) is attached.

It is a downward-opening parabola that intersects the x-axis at (-6, 0) and (-2, 0), with its maximum (vertex) at (-4, 4).

A function is increasing when its slope is positive, meaning that as x increases, y also increases. Therefore, the interval over which the graphed function is increasing is x < -4.

A function is decreasing when its slope is negative, meaning that as x increases, y decreases. Therefore, the interval over which the graphed function is increasing is x > -4.

Therefore, the true statement is:

[tex]\large\boxed{\textsf{The function is increasing for all real values of $x$ where $x < -4$.}}[/tex]

View image semsee45
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.