AP Calculus AB - Test over chapter 4

Suppose f(x) = x³ – x.

Use a linear approximation at x = 2 to estimate f(2.3).

(a)  

f(4) = 1
f'(4) = 3
Using a linear approximation centered at 4, f(4.5) ≈

• 2.5

• 1.5

• 1.333

• 2.333

Which of the following represents the linear approximation to f (x) at the point (c, f(c)) ?

• L(x) = f'(c) + f(c)(x - c)

• L(x) = f(c) + f'(c)(x - c)

• L(x) = f'(c) + f(c)(x + c)

• L(x) = f(c) - f'(c)(x - c)

• 0

• 1

• 1/2

• 1

• e

• 0

• 1

• 1

• 0

• indeterminate

• 1

• 0

• not possible to divide

• 0
• 1
• -32/3
• 32/3