Question

According to the table, which ordered pair is a local minimum of the function, f(x)?

A (0, 9)
B (4, 105)
C (–1, 0)
D (2, –15)

Answer 1

A local minimum is a point with the lowest y (or f(x)) value. That being said, the answer with the lowest y value is D.

Answer 2

Option D

Explanation:

Given is a table which gives the order pair of x and y for a function f(x)

We have to find the local minimum of the function f(x)

We have from the table the values of different f(x)

Of all we find the least value is -15 and for this x value is -2 or +2

Hence f(x) has minimum at two points

(-2,-15) and (2,-15)

Out of 4 options given we find that (2,-15) appears in IV option

Hence option D is right answer