wadfam
Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Use the graph to determine which one of the three statements below is a lie.

The average rate of change between [0,4] is positive
The average rate of change between [-3, 4] is 7.
The average rate of change between [0,4] is ¾.

Explain using one or two sentences why it is a lie or how to make it a true statement.

Use The Graph To Determine Which One Of The Three Statements Below Is A Lie The Average Rate Of Change Between 04 Is Positive The Average Rate Of Change Between class=

Sagot :

altavistard

Answer:

Step-by-step explanation:

One formula for "average rate of change" is

               f(b) - f(a)

a. r. c. = -------------------  = (increase in y) / (increase in x

                   b - a

In the case of this particular function, a = 0, b = 4, and the related y-values are f(a) = f(0) = -3, f(b) = f(4) = 0, and so the average rate of change of this function on (0, 4) is

               f(4) - f(0)          0 - (-3)

a. r. c. = ---------------- = --------------- = +3/4

                   4 - 0                  4

Therefore, "The average rate of change between [0,4] is positive" is true.

               

               f(4) - f(-3)          0 - (0)

a. r. c. = ---------------- = --------------- = 0 (not 7)

                   4 - 0                  4

Therefore, "The average rate of change between [-3,4] is positive" is false.  The average r. of c. is actually 0.  (Again, see above).

From above,

               f(4) - f(0)          0 - (-3)

a. r. c. = ---------------- = --------------- = +3/4    This is true

                   4 - 0                  4

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.