maleahtrainor
maleahtrainor maleahtrainor
  • 01-03-2021
  • Mathematics
contestada

f(x) = -x^3 + 3x^2 + x - 3 Using the end behavior of f(x), determine the graph of the function​

Respuesta :

shelbybro2526
shelbybro2526 shelbybro2526
  • 01-03-2021

Answer:

Here, the given function,

Since, the leading coefficient is negative, and degree is odd,

Thus, the end behaviour of the function is,

Therefore, the graph rises to the left and falls to the right.

Now, when f(x) = 0

That is, graph intercepts the x-axis at (3, 0), (1, 0) and (-1, 0).

When x = 0,

That is, graph intersects the y-axis at ( 0, -3),

Also, for 0 > x > -1 , f(x) is decreasing,

For 2.55 > x > 0, f(x) is increasing,

For 3 > x > 2.55, f(x) is decreasing,

Answer Link

Otras preguntas

What continent is located south of Europe
the grinding away of rock by another rock particles is called what
0.327 rounded to the nearest hundredths
After the war of 1812, the first expansionist goal of the republic was the acquisition of a. Canada b. california.the Oregon country florida
You have a mean score of 84 after taking five 100-point tests. What do you need to score on the sixth 100-point test to have a mean score of 85? **Highschool Al
list the units from most precise to least precise
At 10 A.M., the temperature was 71F°. At 3 P.M., the temperature was 86F°. Find the value of the slope and explain what it means.
594 7/25 + 89 37/100= please help with this math problem
Convert 15/9 to a mixed number and reduce the fraction
1. What was the Munich conference? Why did the French and British give into Hitler's demands?