Which of the graphs below represent the function f(x) = − x3 + 4x2 − x + 3? you may sketch the graph to compare.
graph going through x axis at 3.5, passes through y axis at 0.
graph going through x axis at negative 4.5. passes through y axis at 0.
graph going through x axis at negative 4.5. passes through y axis at 3.
graph going through x axis just before 4. passes through y axis at 3.

Please see the attachment.

Step-by-step explanation:

Now we find the x and y intercept of f(x)

For x-intercept: Put f(x)=0 and solve for x

So, x=3.92 (Just before 4 on x-axis)

For y-intercept: Put x=0 and solve for f(0)

So, y=3 (Passes through y-axis at 3)

End Behavior: Third degree function

Possible graph of the f(x). Please see the attachment.

Graph going through x axis just before 4  and passes through u axis at 3.

Step-by-step explanation:

Given : f(x)  = .

To find : graph .

Solution : We have given that f(x)  = .

We can see from the given polynomial leading coefficient is negative and degree is odd.

By the end behavior of polynomial function : left end of graph would be up and right would be down .

For y intercept ,  plug  x =0 in given function .

f(x)  = .

f(x) = 3.

For x intercept , plug f(x) = 0.

0 =  .

  x = 3.92

Therefore, Graph going through x axis just before 4  and passes through u axis at 3

 

To find the value of x, you need to find the inverse tangent of 90. If you use your calculator to find the inverse tangent, you will see that the number is 89.3634, which is 89.4 when rounded to the nearest tenth. So, 89.4 is the value of x.