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Answer:
-4
Step-by-step explanation:
Find the rate of change for f(x) = x² - 8x + 15 from x = 0 to x = 4
The rate of change is the rate at which a variable changes over a specific period of time.
Averate rate of change:
First, we need to find the functions for when x = 0 and when x = 4:
For x = 0
f(x) = x² - 8x + 15
f(0) = 0² - 8(0) + 15
f(0) = 0 - 0 + 15
f(0) = 15
For x = 4
f(x) = x² - 8x + 15
f(4) = (4)² - 8(4) + 15
f(4) = 16 - 32 + 15
f(4) = -16 + 15
f(4) = -1
Averate rate of change:
A =
A =
A =
A =
Therefore, the rate of change from x = 0 to x = 4 is -4.
Hope this helps!
