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In this problem, you have to find the y- intercept of 
. I graphed mine into a graphing calculator. An algebraic way to find it is to input x=0 in the function. The y-intercept is 5. You can see the y-intercept for the new one is -2. That means we shifted the graph down 7 units. (Vertical Shift down 7)
k=-7
k=-7
i. Domain and Range
The given function is
The domain of this function is,
The range refers to the y-values for which x is defined. x is defined for all values of y.
The range is all real numbers. See graph
ii. x-and-y-intercept
For x- intercept intercept we put
This implies that;
This will give us
The x-intercepts are
For y-intercept, we put
to obtain;
The y-intercept is
iii. Horizontal asyptote
Since degree of the numerator and the denominator are the same, there is a horizontal asymptote
To find the horizontal asymptote.
We divide the leading coefficient of the numerator by the leading coefficient of the denominator.
The horizontal asymptote is
iv. Vertical asymptote
To find the vertical asymptote, we equate the denominator to zero to get;
This implies that;
Split the middle term
Factor
Factor further
The vertical asymptotes are
