Numerical Methods and Calculus

Question 91

Suppose that f : R→R is a continuous function on the interval [−3,3] and a differentiable function in the interval (−3,3) such that for every x in the interval, f′(x)≤2. If f(−3)=7, then f(3) is at most __________ .

• 19

• 17

• 22

• 10

Question 92

The expression [ (x + y) + |x – y| ] / 2 is equal to __________ .

• the maximum of x and y

• the minimum of x and y

• 1

• none of the above

Question 93

Choose the correct expression for f(x) given in the graph.

• f(x) = 2 - |x + 2|
• f(x) = 2 + |x − 2|
• f(x) = 2 - |x − 2|
• f(x) = 2 + |x + 2|