Answer:
Domain:
[tex]0\leq x\leq5[/tex]
Range:
[tex]0\leq y\leq 10[/tex]
Step-by-step explanation:
The domain of a function is the span of the x-values the graph covers, the the range of a function is the span of the y-values the graph covers.
DOMAIN:
We can see that the span of x-values covered spans from x=0 to x=5.
In other words, our domain is all numbers between x=0 and x=5 including x=0 and x=5.
So, we write this as a compound "and" inequality. This would be:
[tex]0\leq x\leq5[/tex]
This is interpreted as all numbers greater than or equal to 0 and less than or equal to 5.
RANGE:
We can see that the span of y-values spans from y=0 to y=10.
So, same thing, our range will be all numbers between 0 and 10 including 0 and 10.
Again, as a compound inequality, this is:
[tex]0\leq y\leq 10[/tex]
In words, this means all y-values greater than or equal to 0 and less than or equal to 10.
Note that we use y this time since we're discussing the range.
And we're done!
