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Elina [12.6K]
3 years ago
11

An example of Power of a Power Property

Mathematics
1 answer:
ella [17]3 years ago
3 0
Power of a power as applied to exponents is the following:

The power of a power is the product of the exponents, or

(x^a)^b = x^(ab)

For example
(5^2)^3=5^(2*3)=5^6=15625
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40 points” help HLP HL
cestrela7 [59]

Answer:

D: {(-5, -4, 2, 2, 5)}

R: {(-6, 3, 4, 1, 5)}

The relation is NOT a function.

Step-by-step explanation:

By definition:

A relation is any set of ordered pairs, which can be thought of as (input, output).

A function is a <em><u>relation</u></em> in which no two ordered pairs have the same first component (domain/input/x value) and different second components  (range/output/y value).

Looking at the given points in your graph, and in listing down the domain and range, we can infer that the relation is not a function because there is an x-value (2) that has two corresponding y-values: (2, 4) (2, 1).

Another way to tell if a given set of points in a graph represents a function by doing the "Vertical line test." The graph of an equation represents y as a function of x if and only if no vertical line intersects the graph more than once. Looking at the attached image, I drew a vertical line over points (2, 4) (2, 1). The vertical line intersects the two points, which fails the vertical line test. This is an indication that the given relation is not a function.

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Tasya [4]
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What is the answer ?
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There's an app called photomath that would be useful for these kinds of problems!
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