martinezoscar12 martinezoscar12
  • 03-01-2018
  • Mathematics
contestada

If f(x)=x^3−x, what is the average rate of change of f(x) over the interval [1, 5]? a)29.5 b)30 c)43 d)120

Respuesta :

jdoe0001 jdoe0001
  • 03-01-2018
[tex]\bf slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\ -------------------------------\\\\ f(x)= x^3-x \qquad \begin{cases} x_1=1\\ x_2=5 \end{cases}\implies \cfrac{f(5)-f(1)}{5-1} \\\\\\ \cfrac{[5^3-5]~-~[1^3-1]}{4}\implies \cfrac{125-5~~-~~0}{4}\implies \cfrac{120}{4}\implies 30[/tex]
Answer Link

Otras preguntas

Use the following information to answer the question. A eukaryotic gene has "sticky ends" produced by the restriction endonuclease EcoRI. The gene is added to a
_______ waves are unique because of their ability to travel through a vacuum, a space that contains no particles of matter.
What is the difference between the American cinquain and the Modern cinquain? A. The American cinquain uses parts of speech. B. The American cinquain has a spec
Why do you feel it is important that both house of representatives and senate agree to a bill before it is sent to the president?
do ice and snow have the same chemical bonds ​
What is soil erosion?
Which sentence from response to Erik of Sweden best summarizes Queen Elizabeth’s purpose for writing the letter
Are chloroplasts found in animal cells?
i need help finding the area and perimeter for each one! please explain how you did it, i need to show work :)
what happens during g2 phase​