By definition we have the average rate of change is:
AVR = (f (x2) -f (x1)) / ((x2) - (x1))
Then, for each function we have:
For f (x):
f (x) = (x + 3) ^ 2 - 2
For x = -1
f (-1) = (-1 + 3) ^ 2 - 2
f (-1) = (2) ^ 2 - 2
f (-1) = 4 - 2
f (-1) = 2
For x = 3
f (3) = (3 + 3) ^ 2 - 2
f (3) = (6) ^ 2 - 2
f (3) = 36 - 2
f (3) = 34
AVR = ((34) - (2)) / ((3) - (- 1))
AVR = 8
For g (x):
linear graph with and intercept of negative 3 over 2 and x intercept of 3
y = mx + b
b = -3/2
For me we have:
0 = m (3) - 3/2
3m = 3/2
m = 1/2
The function g (x) is:
g (x) = (1/2) x - 3/2
For x = -1
g (-1) = (1/2) (- 1) - 3/2
g (-1) = -1/2 - 3/2
g (-1) = -4/2
g (-1) = -2
For x = 3
g (3) = (1/2) (3) - 3/2
g (3) = 3/2 - 3/2
g (3) = 0
AVR = ((0) - (- 2)) / ((3) - (- 1))
AVR = 1/2
For h (x):
Using the table we have:
AVR = ((62) - (14)) / ((3) - (- 1))
AVR = 12
from least to greatest:
1) g (x)
2) f (x)
3) h (x)
Answer:
The correct order of the functions from least to greatest is:
1) g (x)
2) f (x)
3) h (x)
Answer:
b
Step-by-step explanation:
dont be dumb
Answer:
y = -|x - 2| + 4
Step-by-step explanation:
The parent function of the absolute value function is y = |x|. There is a negative reflection in the x-axis, a horizontal translation of 2 units right, and a vertical translation of 4 units up.
