Question

Use the functions f(x) and g(x) to determine which function has the smallest zero and provide its coordinates.

f(x) = 2x2 − 14x + 20

x g(x)
18 −17
19 0
20 19
21 40
22 63

f(x); (2, 0)

f(x); (−5, 0)

g(x); (19, 0)

g(x); (−17, 0)

Answer 1

Function with smallest zero is:

f(x); (2, 0).

Explanation:

f(x):

2x2 − 14x + 20 = 0

x^2 - 7x + 10 = 0

(x - 5)(x - 2) = 0

So the zeroes are (2, 0) and (5, 0)

g(x):

From the table:

when g(x) = 0, x =19 so its zero is (19, 0).