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Describe the graph of the function g(x)=(x-1)(x+4)^3(x+5)^2

The graph

The axis at (1,0)

Crosses
Doesn’t intersect
Touches

The axis at -4,0
Crosses
Doesn’t intersect
Touches

The axis at -5,0
Crosses
Doesn’t intersect
Touches

Describe the graph of the function gxx1x43x52 The graph The axis at 10 Crosses Doesnt intersect Touches The axis at 40 Crosses Doesnt intersect Touches The axis class=

Respuesta :

Answer:

  • crosses at (1, 0)
  • crosses at (-4, 0)
  • touches at (-5, 0)

Step-by-step explanation:

The worksheet tells you the answers.

__

If the power of (x -k) is odd, the graph crosses the axis.

  factors (x -1) and (x +4)^3 have odd powers, so the graph crosses where these factors are zero

__

If the power of (x -k) is even, the graph touches the axis.

  factor (x +5)^2 has an even power, so the graph touches where that factor is zero.

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