recall that
to translate a graph h units to the right, replace x with (x-h)
to translate it up by k units, replace y with (y-k)
as written, all of those functions are polynomials, with a domain of all reals. If you want the domain to exclude x=4.1, then you need a rational function with (x-4.1) as a factor in the denominator.
Learn to write math with "/" symbols for fractions, and parentheses to group terms. I suspect that the way you posted the functions is not how they appeared in your assignment.
Fill in the blank: To obtain the graph of y=2x+0.2, you can start with the graph of y=2x and translate it ___________.
A. 0.2 units to the right
B. 0.2 units to the left
C. 0.2 units up
D. 0.2 units down
Which of these functions has a domain of all real numbers except x=4.1?
A. y=2.5x−4.1+2.8
B. y=2.8x+4.1−2.5
C. y=4.1x−2.8+2.5
D. y=4.1x−2.5+2.8
1 answer