Question

HELP MEE PLEASEEE!! I WILL GIVE BRAINLIEST!!!

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 18 19 20 21 22

g(x) −17 0 19 40 63


A. f(x); (2, 0)

B. f(x); (−5, 0)

C. g(x); (19, 0)

D. g(x); (−17, 0)

Answer 1

Answer:

A. f(x); (2, 0)

Step-by-step explanation:

First, we determine the zeros of f(x)

$f(x)= 2x^2 - 14x + 20=0\\2(x^2 - 7x + 10)=0\\x^2 - 7x + 10=0\\x^2-5x-2x+10=0\\x(x-5)-2(x-5)=0\\(x-5)(x-2)=0\\x-5=0 or x-2=0\\x=5 or x=2$

The zeroes of f(x) are 5 and 2.

• Therefore, the smallest zero of f(x) is 2.
• The zero of g(x) is 19

We can then conclude that f(x) is the function which has the smallest zero.

Its coordinate is (2,0).

Answer 2

Answer:

A. f(x); (2, 0)

Step-by-step explanation: