Question

2. (10 points) is the below graph a function? If so find the Domain, Range, X-intercept, Y-intercept. A

Answer 1

A graph represents a function if it passes the vertical line test. According to this test, if any vertical line, drawn within the domain of the given relation, cuts the graph only once, then the given graph represents a function. The given graph passes the vertical line test and hence represents a function.

Domain is the set of all the valid inputs (x-coordinates) of a function. Also, a hole means that the given value of x is NOT within the domain of the function. From the given graph, we can conclude the function has domain as x∈(-∞,-1] U (0,∞)

Range is the set of all the valid outputs (y-coordinates) of a function From the given graph, we can conclude the function has range as y∈(-∞,3)

x-intercepts are the points where the graph cuts the x-axis. From the graph, we get x-intercept as (-5,0) & (4,0)

y-intercepts are the points where the graph cuts the y-axis. From the graph, we get that the given function does NOT have any y intercept