Answer:
1. {y | 0 ≤ y < 9}
2. {x | 0 ≤ x ≤ 4}
Step-by-step explanation:
Hello!
1.
The range of a function is the set of all y-values in the function. We can look at the range by looking at the horizontal sections that it passes through.
The range of this quadratic function has a minimum y-value of 0, but has a maximum value of 9.
We have to rewrite this as an inequality. If the graph has a solid endpoint, we use a greater than or equal to, or less than or equal to sign (≤ ≥).
If there is a "hole" endpoint, the graph doesn't include that point, so we use a greater than or less than symbol (< >). Since the lowest value is a curve, we always use the ≥ or < symbols.
Write the Inequality
- y ≥ 0
- y < 9
- {y | 0 ≤ y < 9}
2.
The domain of a function is the set of all x-values in the function. We can look at the domain by looking at the vertical sections that it passes through.
The domain of this function has a minimum x-value of 0, but has a maximum value of 4.
Use the same rules as for the range, but flip the variable from y to x.
Write the Inequality
- x ≥ 0
- x ≤ 4
- {x | 0 ≤ x ≤ 4}