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Which statement describes the function y = axn when a = 1 and n is odd?

Which statement describes the function y = axn when a = 1 and n is odd?-example-1
User Colas
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2 Answers

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18 votes

Answer:

B: The graph is symmetric about the origin

Explanation:

you typed the question in wrong its ax^n not axn, which makes the answer above incorrect. this should be the right one on edge.

User Shiboe
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16 votes
16 votes

Answer:

The graph is symmetric about the origin.

The graph does not pass through the origin.

Explanation:

We're given:

  • the function y=axn
  • a = 1
  • n is odd

Because a = 1, then the given function can be rewritten as y = n.

  • The graph opens down

The function y = n will produce a horizontal line. Any function in the form of y = a single number, such as 4 or 9.3 will produce a horizontal line.

  • The graph is symmetric about the origin.

This is true, given the graph is a horizontal line.

  • The graph does not pass through the origin.

This is also true. We're given that n is an odd number. The graph will only pass through the origin if n = 0, and 0 is even.

  • The graph has more than one x-intercept.

This would only be true when n = 0, and this isn't possible. So, no.

User Cnaak
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