How do you sketch the graph $g (x) = {(x + 1)}^{5} + 10$ $g(x)=(x+1)^5+10$ and $f (x) = x^{5}$ $f(x)=x^5$ using transformations and state the domain and range of g?

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How do you sketch the graph $g (x) = {(x + 1)}^{5} + 10$ $g(x)=(x+1)^5+10$ and $f (x) = x^{5}$ $f(x)=x^5$ using transformations and state the domain and range of g?

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Answer 1 · 2018-06-26T14:29:54

See below for an explanation!

Explanation:

This is what $f (x)$ $f(x)$ look like:

graph{x^5 [-10, 10, -5, 5]}

$g (x)$ $g(x)$ is translated 1 unit to the left and 10 units up:

graph{((x+1)^5)+10 [-20, 20, -2, 18]}

The domain and range of $g (x)$ $g(x)$ will both be $(- \infty, \infty)$ $(-oo,oo)$ . The graph will continue in both directions for infinity without anything to block the graph.

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How do you sketch the graph $g (x) = {(x + 1)}^{5} + 10$ $g(x)=(x+1)^5+10$ and $f (x) = x^{5}$ $f(x)=x^5$ using transformations and state the domain and range of g?

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Explanation:

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How do you sketch the graph g(x)=(x+1)5+10g(x)=(x+1)^5+10 and f(x)=x5f(x)=x^5 using transformations and state the domain and range of g?

1 Answer

Explanation:

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How do you sketch the graph $g (x) = {(x + 1)}^{5} + 10$ $g(x)=(x+1)^5+10$ and $f (x) = x^{5}$ $f(x)=x^5$ using transformations and state the domain and range of g?