Which function has the graph with the greatest y-intercept?

The greatest y-intercept c = 6

Step-by-step explanation:

we know that

        slope-intercept form y = mx +c

a) Given that  f(x) =

   comparing    y = mx +c

  slope of the line m = 6 and Y - intercept c= 1/6

b)    Given that  f(x) =

                        y = 6x -6

   comparing    y = mx +c

  slope of the line m = 6 and Y - intercept c= -6

c)

    Given that  f(x) =

                        y =  

   comparing    y = mx +c

  slope of the line m =    and Y - intercept c= 6 ( greatest intercept)

d)

 Given that  6 k(x) = x

                     k(x) =

                        y =

   comparing    y = m x +c

 The slope of the line m =  and Y-intercept c=0

Final -

The greatest y-intercept c = 6

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step-by-step explanation:

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)