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3 years ago

The identity function is a linear function. True False

Mathematics

2 answers:

kherson [118]3 years ago

7 0

The correct answer for this statement would be TRUE. Yes,it is true that the identity function is a linear function. <span>A linear function is a map between two vector spaces that preserves vector addition and scalar multiplication.
</span>this means f(x + y) = f(x) + f(y) and f(xy) = f(x)f(y))
<span>The identity function is the function such that f(x) = x
</span>So by using this example, we can conclude that it is a linear function.

Contact [7]3 years ago

4 0

Answer:

True

Step-by-step explanation:

An identity function is a function such that y=f(x)=x.

The identity is a linear function with pending m=1. This means that the function passes through the origin of coordinates, the point (0,0).

m=1 > 0 then, the function is growing.

m=1 means that if we increase x in 1 then y also increases in 1 unit and the graph of the function forms an angle of 45 degrees with any of the axes.

The function is y=x and the graph is:

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3 years ago

If we wish to obtain a 95% confidence interval of a parameter using the bootstrap method, we determine the _______ percentile

BigorU [14]

Answer:

2.5th percentile and the 97.5th percentile.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

So we obtain the 0.025*100 = 2.5th percentile and the (1-0.025)*100 = 97.5th percentile.

So the answer is:

2.5th percentile and the 97.5th percentile.

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3 years ago