Which input value produces the same output value for the two functions on the graph

Which input value produces the same output value for the two functions on the graph


[tex]Which input value produces the same output value for the two functions on the graph[/tex]

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  1. the required function is [tex]y=-x+4[/tex].

    step-by-step explanation:

    from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

    it is a linear function because the value of y is decrease by one as the value of x increase by 1.

    the slope of the function is

    [tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{4-7}{)}=\frac{-3}{3}=-1[/tex]

    the slope of the function is -1 and the y-intercept is 4.

    the slope intercept form is

    [tex]y=mx+b[/tex]

    where, m is slope and b is y-intercept.

    [tex]y=-1x+4[/tex]

    [tex]y=-x+4[/tex]

    therefore the required function is [tex]y=-x+4[/tex]. the graph of this function is shown below.

  2. The input value is x=1

    Step-by-step explanation:

    we know that

    The intersection point both graphs is the point that  produces the same output value for the two functions

    Observing the graph

    The intersection point is (1,1)

    therefore

    For x=1 (input value)

    The output value for the two functions is equal to 1

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