Y=1/3x+5 i believe is your answer if im wrong please correct me
sorry i read the line wrong
10 and -9. 10 times -9 equals -90 and 10+ -9 equals 1
Answer:
- Point of Inflection: Does not Exist
- f(x) is concave up when x∈(-∞,-6)
- f(x) is concave down when x∈(-6, ∞)
Step-by-Step Explanation
We are to determine the intervals on which the function is concave up or down and find the points of inflection.
A function f(x) is concave up in the intervals for which the second derivative of the function .
A function f(x) is concave down in the intervals for which the second derivative of the function .
Given
We need to solve for the second derivative of the function.
The first derivative:
Using Quotient Rule:
.
.
The Second derivative:
Similarly applying quotient rule:
Now is 490, thus does not have a solution,
However, we determine the point where is undefined. This point is x=-6.
In the Interval, (-∞,-6), f(x) is concave Up and in the Interval (-6, ∞), f(x) is concave down. It has no Inflection point.