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

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

answer: the first graph

step-by-step explanation: