Graph the function f(x) = -x^4 + 7x^3 - 9x^2 - 3x + 10 using graphing technology and identify for which values of x the graph is decreasing.
A. from x = -2 to x = -1
B. from x = 0 to x = 1
C. from x = 1 to x = 2
D. from x = 2 to x = 4

Respuesta :

frika

Answer:

Option B

Step-by-step explanation:

Plot the graph of the function [tex]f(x) = -x^4 + 7x^3 - 9x^2 - 3x + 10[/tex] on the coordinate plane (see attached diagram).

From the diagram, the graph of the function f(x)

  • is increasing when [tex]x<-0.142[/tex] and [tex]1.281<x<4.111;[/tex]
  • is decreaisng when [tex]-0.142<x<1.281[/tex] and [tex]x>4.111.[/tex]

Since [tex]-0.142<0<x<1<1.281,[/tex] the graph is decreasing from x = 0 to x = 1.

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