To find the domain with the graph we look at the x-axis, the numbers that the function can take.
Empty circle: We don't take the number( less than but not equal to)
The arrow means that it continues to infinitive.
Domain = (-∞, 2)
To find the range with the graph look at the y-axis values.
Range= [0, ∞)
c.
We are going to use the vertical line test.
"If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function."
Using this test we can see that the vertical line only touches at one point.
d.
To determine whether it's a one-to-one function, use the horizontal line test:
" If no horizontal line intersects the graph of the function f in more than one point, then the function is 1 -to- 1."
Using the horizontal line moved across the graph, we can see on the graph that intercepts more than once, E.g. points (-1,1) and (1,1)