Questions: 4. domain 5. range 6. x-intercept(s) 7. y-intercept(s) 8. interval(s) where the graph is positive 9. interval(s) where the graph is decreasing 10. interval(s) where the graph is increasing 11. rate of change on [-1,4]

4. domain
5. range
6. x-intercept(s)
7. y-intercept(s)
8. interval(s) where the graph is positive
9. interval(s) where the graph is decreasing
10. interval(s) where the graph is increasing
11. rate of change on [-1,4]

Transcript text: 4. domain 5. range 6. $x$-intercept(s) 7. $y$-intercept(s) 8. interval(s) where the graph is positive 9. interval(s) where the graph is decreasing 10. interval(s) where the graph is increasing 11. rate of change on $[-1,4]$

Solution

Solution Steps

Step 1: Determine the Domain

The domain of a function is the set of all possible input values (x-values) for which the function is defined. From the graph, the function is defined from $ x = -4 $ to $ x = 4 $.

Final Answer

The domain is $ [-4, 4] $.

Step 2: Determine the Range

The range of a function is the set of all possible output values (y-values) that the function can take. From the graph, the lowest y-value is -2 and the highest y-value is 3.

Final Answer

The range is $ [-2, 3] $.

Step 3: Find the x-intercept(s)

The x-intercepts are the points where the graph crosses the x-axis (i.e., where $ y = 0 $). From the graph, the x-intercepts are at $ x = -2 $ and $ x = 2 $.

Final Answer

The x-intercepts are $ x = -2 $ and $ x = 2 $.

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