Answer:
Domain: [0, 4]
Range: [0, 4]
Function? Yes
General Formulas and Concepts:
Algebra I
- Domain is the set of x-values that can be inputted into function f(x)
- Range is the set of y-values that are outputted by function f(x)
- Vertical Line Test - no function can have the same x-value for different y-coordinates
Explanation:
According to the graph, our x-values span from 0 to 4. Since both are closed dot, they are inclusive in the domain:
Interval Notation - [0, 4]
Inequality Notation - 0 ≤ x ≤ 4
According to the graph, our y-values span from 0 to 4. Since both are closed dot, they are inclusive in the range:
Interval Notation - [0, 4]
Inequality Notation - 0 ≤ x ≤ 4
Since we see that each x-value has a unique y-value and passes the vertical line test.
∴ the relation is a function.