Answer:
Describe the graph of the function g(x) = (x − 1)(x + 4)3(x + 5)2.
The graph:
✔ crosses
the axis at (1, 0).
✔ crosses
the axis at (−4, 0).
✔ touches
the axis at (−5, 0).
Step-by-step explanation:
edge
What is a Graph of a function?
The graph of a function f exists the set of all points in the plane of the form (x, f(x)). We could also describe the graph of f to be the graph of the equation y = f(x). So, the graph of a function stands as a special case of the graph of an equation.
If the power of (x -k) stands odd, the graph crosses the axis.
factors (x -1) and[tex](x +4)^3[/tex]have odd powers, so the graph crosses where these factors exist zero
If the power of (x -k) exists even, the graph touches the axis.
factor [tex](x +5)^2[/tex]includes an even power, so the graph touches where that factor exists at zero.
Hence,
To learn more about the Graph of a function refer to:
https://brainly.com/question/2306849
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