Determine whether the graph of y^5=x^3 is symmetric with respect to the Y axis the x-axis or the origin.
1 answer:
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Answer:
the origin
Step-by-step explanation:
Both terms are of odd degree, so the function is an odd function. It is symmetrical with respect to the origin.
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If you recast this as y = f(x), then ...
f(x) = x^(3/5)
When we look at f(-x), we find ...
f(-x) = ((-x)^3)^(1/5) = -(x^3)^(1/5) = -(x^(3/5)) = -f(x)
An odd root of a number has the same sign as the number.
When f(-x) = -f(x), the function is odd and symmetrical about the origin.
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The statement that 8-37 greater than or equal to 29 is false and the correct statement is 8 - 27 is less than 29
<h3>What is an inequality?</h3>An inequality can be defined as a relation which makes an unequal comparison between two numbers or mathematical expressions.
It is used most often to compare two numbers on the number line by their size
The information given be represented as;
Now, let's find the difference from the left side
We have;
From this, we can see that the statement is wrong as - 29 is neither greater than or equal to 29
The correct statement should be; 8 - 27 is less than 29
Thus, the statement that 8-37 greater than or equal to 29 is false and the correct statement is 8 - 27 is less than 29
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