How do you sketch the graph #g(x)=x^53# and #f(x)=x^5# using transformations and state the domain and range of g?
If you know x^5 is like x^3 but is not like x^1 because it's not a straight line, then
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To sketch the graph of ( g(x) = x^5  3 ) using transformations relative to the graph of ( f(x) = x^5 ), and to state the domain and range of ( g(x) ), follow these steps:

Graph Transformations:
 Reflection over the xaxis: The negative sign in front of ( x^5 ) reflects the graph of ( f(x) = x^5 ) over the xaxis.
 Vertical shift down: The "3" term shifts the graph vertically downward by 3 units.

Sketching the Graph: Start with the graph of ( f(x) = x^5 ) and apply the transformations:
 Reflect the graph over the xaxis.
 Shift the resulting graph downward by 3 units.

Domain and Range:
 Domain: The domain of ( g(x) ) is all real numbers, as there are no restrictions on the input values of ( x ).
 Range: Since the graph of ( g(x) ) is a reflection of the graph of ( f(x) = x^5 ) over the xaxis and shifted downward by 3 units, the range of ( g(x) ) is all real numbers.

Sketching the Graph of ( g(x) ): Start with the graph of ( f(x) = x^5 ), reflect it over the xaxis, and then shift it downward by 3 units.

State the Domain and Range of ( g(x) ):
 Domain: ( (\infty, \infty) ) (all real numbers)
 Range: ( (\infty, \infty) ) (all real numbers)
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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