wadfam
Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.