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

how do you solve 4a/b divided by 2ac/b
What is the GCF of 80x3 and 30yx2??? (The 3and2 are exponets)
The most commonly spoken language in the Fertile Crescent around the time of Jesus was
What is the value of 1-18+25 if you subtract then add? If you add then subtract?Why is order of operations necessary?
Write equation in function form y-3x-11=0
Write equation in function form y-3x-11=0
List the perfect squares between 100 and 500 that are even numbers
what are some fun facts on animal and plant cells.
A six−sided die, with sides numbered 1,2, 3,4,5, and 6, is tossed. What is the probability of tossing a number less than three?
Write y= 3/4x + 1/2 in standard form. Thanks in advance. Also, could you please briefly explain how you did it, because these questions confuse me. Thank you. A