Question

Over which interval is the graph of f(x) = –x2 + 3x + 8 increasing? (–[infinity], 1.5) (–[infinity], 10.25) (1.5, [infinity]) (10.25, [infinity])

Answer 1

Given:

The function f(x) = –x² + 3x + 8

To find:

The interval over which the function is increasing

Solution:

• The function can be expressed in terms of x and y as y = –x² + 3x + 8.
• The given equation is parabolic in nature .
• It increases from infinity to its vertex point.
• The vertex of a parabola of the form y = ax² + bx + c is O = -b/(2a)
• Vertex O = -3/2(-1) = 3/2 = 1.5

The interval increases over the function  (–[infinity], 1.5).

Answer 2

Answer:A

Step-by-step explanation: