Which of the graphs below represent the function f(x) = x3 - 5x2 + 2x + 8? You may sketch the graph to compare.

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calculista calculista · Answer 1 · 2018-11-30T15:27:56+01:00

Answer:

The answer in the attached figure

Step-by-step explanation:

we have

[tex]f(x)=x^{3}-5x^{2} +2x+8[/tex]

we know that

The y-intercept is the value of the function when the value of x is equal to zero

The x-intercept is the value of x when the value of the function is equal to zero

Using a graphing tool-------> Find the intercepts of the function

see the attached figure

The y-intercept is [tex]8[/tex]

The x-intercepts are [tex]-1,2,4[/tex]

therefore

the answer in the attached figure

AlonsoDehner AlonsoDehner · Answer 2 · 2019-04-27T05:37:22+02:00

Answer:

II graph is correct

Step-by-step explanation:

Given are 4 graphs and we have to find out the match for

[tex]f(x) = x^3 - 5x^2 + 2x + 8[/tex]

To find y intercept:

Put x=0

y intercept = 8. The second graph has this intercept

To find x intercept

Let f(x) =0 to get y intercepts

The given funciton has factors as

[tex](x+2)(x-1)(x-3)[/tex]

So x intercepts are -2, 1, 3 and this matches with II graph

Increasing:

[tex]f'(x) = 3x^2-10x+2\\[/tex]

f'(x) =0 for x =0.214 and 3.12

OUr II graph has critical points at these values

SO option II is right