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

determine the zero(s) of the function.

The zeros of the given function is 1 and 3

Step-by-step explanation:

James creates the table shown to represent the function

 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

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0