James creates the table shown to represent the function ƒ(x) = x2 - 4x + 3.


Determine the zero(s) of the function.

James creates the table shown to represent the function ƒ(x) = x2 - 4x + 3. Determine the zero(s) of the function. class=

Verified Answer :

0=x^2 -4x+3
0=(x+1) (x+3)
X+1=0 x=-1
X+3=0 x=-3

Answer:

The zeros of the given function is 1 and 3

Step-by-step explanation:

James creates the table shown to represent the function

\(f(x)=x^2-4x+3\)

 Table of f(x)

      x     |      f(x)

     -1     |       8

      0     |      3

      1     |       0

      2     |      -1

      3     |       0

      4     |       3

      5     |       8

Using table we need to find zeros.

Zeros of the function when function value becomes 0 at given value of x.

So, we will see the table value where f(x) becomes 0

In table we can see f(x) is zero at two value of x

At x=1, f(1)=0

At x=3, f(3)=0

Here we have two zeros at x=1 and 3

Zero: x=1 and x=3

Hence, The zeros of the given function is 1 and 3