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What is the rate of change from x = 0 to x = pi over 2 ? (6 points) trig graph with points at: (0, negative 4) and (pi over 2, 0) and (pi, 4) and (3 pi over 2, 0) and (2 pi, negative 4)

What is the rate of change from x 0 to x pi over 2 6 points trig graph with points at 0 negative 4 and pi over 2 0 and pi 4 and 3 pi over 2 0 and 2 pi negative class=

Respuesta :

Answer:

Rate of Change : 8 / π

Step-by-step explanation:

To determine this rate of change, we have to first consider the points at x = 0 and x = π / 2.

When x = 0, f( x ) = - 4,

When x = π / 2, f( x ) = 0

Remember that rate of change is represented by a change in y / change in x. Therefore,

( 0 - ( - 4 ) ) / ( π / 2 - 0 ),

( 0 + 4 ) / ( π / 2 ),

4 / π / 2 = 8 / π

Therefore the rate of change from x = 0 ➡ x = π / 2 will be 8 / π.

shaleenparikh1
Answer: 8/pi

Average rate of change = (f(pi/2)-f(0))/(pi/2)= (0-(-4))/(pi/2)= 8/pi.