Answer:
Explanation:
There are 2 parts for your function. (see image)
y=4x, which is a line with a slope of 4 but x≠0, so there is a hole there
y=1 only at x=0 so the point is above the line
(a) Domain: All real numbers. There is a value for all x's
(b) There is no x-intercept because the graph never touches x
y-intercept (1,0) That's where the graph touch y
(c) see image
(d) range: (-∞, 0) U (0, +∞) there is a stop at 0 for y values
can also be written -∞<x<1 and 1<x<+∞
(e) yes it's continuous for domain but not range. because even though there is a jump at that point, i still have an x value. The jump causes me to not have a y value at y=0, that's why range is discontinuous