Answer: (0,0) on a coordinate plane
Step-by-step explanation:
The word origin has many definitions, but I see that you put this topic question under mathematics, So you are talking about an origin on a coordinate plane.
Origin means start or beginning, on a coordinate plane (Consisting of two lines, one vertical, the y-axis and one being horizontal, which is the x-axis), you would find the Origin in the middle of the place that the x-axis and the y-axis intersect
In the area where those axis's intersect is known as the origin and is also known as the points (0,0)
Answer:
(-∞, -1 )∪(3, ∞)
Step-by-step explanation:
Given function,
Differentiating with respect to x,
For increasing or decreasing,
f'(x) = 0
By quadratic formula,
In interval (-∞, -1 ), f'(x) = positive,
⇒ f(x) is increasing on (-∞, -1 ),
In interval (-1, 3), f'(x) = negative,
⇒ f(x) is decreasing on (-1, 3),
In interval (3, ∞), f'(x) = positive,
⇒ f(x) is increasing on (3, ∞),