f(x) = (x - 2)^3 + 1
Find the derivative:-
f'(x) = 3(x -2)^2 This = 0 at the turning points:-
so 3(x - 2)^2 =
giving x = 2 . When x = 2 f(x) = 3(2-2)^3 + 1 = 1
Answer is (2, 1)
If the current value of the baseball car is 50 times its original value, its original value will be its current value divided by 50.
Let

represent the current value of the baseball card. We know form our problem that $62 is 50 times the original value,

, of the baseball card, so translating this statement to an equation we get:



We can conclude that the original value of the baseball card was
$1.24.
1. The linear equation:
y = m x + b
m = 3
- 2 = 3 · 1 + b
- 2 = 3 + b
b = - 5
Answer: A ) y = 3 x - 5
2. We will solve the system of equations:
12 = - 4 m + b / · ( - 1 )
23 = 7 m + b
----------------------
- 12 = 4 m - b
+
23 = 7 m + b
--------------------
11 = 11 m, m = 1, b = 16
Answer: A ) y = x + 16
2x^4(or 2x to the fourth power