Yes, a point of inflection exists where f''(x) = DNE.
We know that the point of inflection, also known as the inflection point, is where the function's concavity changes. Changing the function from concave down to concave up, or vice versa, means that. In other words, an inflection point is a location at which the rate of slope change from an increasing to a decreasing manner, or vice versa, occurs. There is no doubt that those points are neither local maxima nor minima. They are called stationary points.
Let's take an example
Here,
and
Clearly f''(x) = DNE at x = 0. We are going to check if x = 0 is a point of inflection or not.
At x = -1, (left side of 0), (concave up)
At x = 1, (right side of 0), (concave down)
Then by the definition, we can conclude that x = 0 is a point of inflection.
Therefore, a point of inflection exists where f''(x) = DNE.
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Answer:
The standard normal distribution should be used due to the large sample size ; also also proportions are what is required.
Step-by-step explanation:
Given that:
Sample size, n = 1700
p = 63% = 0.63
Given that the sample size is large at n = 1700 ; the binomial distribution and t - distribution aren't ideal for distributions of such size. Also, we are interested in the population proportion which from the standard normal formula who's interval could be obtained thus :
[p ± Zα/2 * sqrt(p(1 - p))]
Both the t-distributon and binomial distributions are for experiments whith relatively small or low.
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Answer:
A
Step-by-step explanation:
The graph of h(x) = (x-3)^2. The (x-3) indicates that the graph is shifted horizontally right 3 units because the change takes place inside the parantheses. Because the units are being subtracted, the graph will shift to the right. I highly recommend using Desmos to find your answer next time.
Answer:
The product is the opposite of the integer
Step-by-step explanation:
Multiplying a number by -1 simply changes its sign:
The product is the opposite of the integer