Questions: -3 ≤ x ≤ 1

Transcript text: -3 \leq x \leq 1

Solution

Solution Steps

Step 1: Determine the Domain in Interval Notation

The domain of the function is the set of all possible x-values for which the function is defined. From the graph, the function starts at \( x = -3 \) and ends at \( x = 1 \). Therefore, the domain in interval notation is: \[ [-3, 1] \]

Step 2: Determine the Domain as an Inequality

The domain as an inequality is the range of x-values for which the function is defined. From the graph, this is: \[ -3 \leq x \leq 1 \]

Step 3: Determine the Range in Interval Notation

The range of the function is the set of all possible y-values that the function can take. From the graph, the function starts at \( y = -5 \) and goes up to \( y = 4 \). Therefore, the range in interval notation is: \[ [-5, 4) \]

Final Answer

Domain in Interval Notation: \([-3, 1]\)
Domain as an Inequality: \(-3 \leq x \leq 1\)
Range in Interval Notation: \([-5, 4)\)

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >