Solving Calculus with Data in a Table

Question

The function f is continuous on the interval [3, 11] with some of its values given in the table below. Use the data in the table to approximate f '(4). (2 points)

x      3  5  8  10  11
f(x) -4  4 10 16  20



I. 0
II. 4
III. -4
IV. None of these

Answer 1

PROBLEM

 

Solving Calculus with Data in a Table
The function f is continuous on the interval [3, 11] with some of its values given in the table below. Use the data in the table to approximate f '(4). (2 points)

x 3 5 8 10 11
f(x) -4 4 10 16 20



I. 0
II. 4
III. -4
IV. None of these

 

SOLUTION

 

Given f(x) continuous on the given interval I can assume f'(4) ≈ [f(5) - f(3)]/(5 - 3) = 8/2 = 4.

 

So, I'd choose II.