Find f(a),f(a+h) and the difference quotient f(a+h)-f(a) whole divided by h where h = is not equal to 0
F(x)=3-8x
f(a)
f(a+h)
f(a+h)-f(a)/h
To find f(a), substitute a into the function F(x):
f(a) = 3 - 8a
To find f(a+h), substitute a+h into the function F(x):
f(a+h) = 3 - 8(a+h)
= 3 - 8a - 8h
= -8h + 3 - 8a
To find the difference quotient, subtract f(a) from f(a+h) and divide by h:
(f(a+h) - f(a)) / h = (-8h + 3 - 8a - (3 - 8a)) / h
= (-8h + 3 - 8a - 3 + 8a) / h
= (-8h - 8a + 8a) / h
= -8h / h
= -8
To find f(a), we substitute a into the function f(x) = 3 - 8x:
f(a) = 3 - 8(a)
To find f(a+h), we substitute (a+h) into the function f(x) = 3 - 8x:
f(a+h) = 3 - 8(a+h)
Now, let's simplify f(a+h)-f(a)/h:
f(a+h)-f(a) = (3 - 8(a+h)) - (3 - 8(a))
= 3 - 8a - 8h - 3 + 8a
= -8h
Therefore, f(a+h)-f(a)/h = -8h/h = -8.