corbinrodriguez825 corbinrodriguez825
  • 01-02-2024
  • Mathematics
contestada

The table shows the values of a function f(x). What is the average rate of change of f(x) from −2 to 2? xf(x) ​−2​25 ​−1​24 021 116 29 30 Enter your answer in the box.

Respuesta :

tpam43335
tpam43335 tpam43335
  • 01-02-2024

Answer:

-4

Step-by-step explanation:

The values of f(x) given in the table are:

f(-2) = 25

f(-1) = 24

f(0) = 21

f(1) = 16

f(2) = 9

To find the average rate of change from -2 to 2, we subtract the value of f(-2) from the value of f(2) and divide it by the difference in the x-values (2 - (-2) = 4).

Change in f(x) = f(2) - f(-2) = 9 - 25 = -16

Change in x = 2 - (-2) = 4

Average rate of change = Change in f(x) / Change in x = -16 / 4 = -4

Answer Link

Otras preguntas

We elect a U.S. Representative for how many years?
Which two earth layers are separated by the moho boundary?
What is an amendment?
Under our Constitution, some powers belong to the states. What is one power of the states?
Which quantity can be calculated for a solid compound, given only the formula of the compound and the Periodic Table of the Elements? (1) the density of the com
What are two ways that Americans can participate in their democracy?
What are the two major political parties in the United States?
Who is the Commander in Chief of the military?
Which polyatomic ion is found in the compound represented by the formula NaHCO3? (1) acetate (3) hydrogen sulfate (2) hydrogen carbonate
Name two national U.S. holidays