Questions: Using the given graph of the function (f), find the following. (a) the intercepts, if any (b) its domain and range (c) the intervals on which it is increasing, decreasing, or constant (d) whether it is even, odd, or neither (a) What are the intercepts? ((1,0),(-2,0),(0,2)) (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) (b) The domain is (Type your answer in interval notation.)

Using the given graph of the function (f), find the following. (a) the intercepts, if any (b) its domain and range (c) the intervals on which it is increasing, decreasing, or constant (d) whether it is even, odd, or neither (a) What are the intercepts? ((1,0),(-2,0),(0,2)) (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) (b) The domain is (Type your answer in interval notation.)
Transcript text: Using the given graph of the function $f$, find the following. (a) the intercepts, if any (b) its domain and range (c) the intervals on which it is increasing, decreasing, or constant (d) whether it is even, odd, or neither (a) What are the intercepts? \[ (1,0),(-2,0),(0,2) \] (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) (b) The domain is $\square$ (Type your answer in interval notation.)
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Solution

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Solution Steps

Step 1: Find the x-intercepts

The x-intercepts are the points where the graph crosses the x-axis. These occur at x = -2 and x = 1. As ordered pairs, these are (-2, 0) and (1, 0).

Step 2: Find the y-intercept

The y-intercept is the point where the graph crosses the y-axis. This occurs at y = 2. As an ordered pair, this is (0, 2).

Step 3: Find the domain

The domain is the set of all possible x-values. The graph extends from x = -3 to x = 3, inclusive. In interval notation, this is [-3, 3].

Final Answer:

Intercepts: (-2, 0), (1, 0), (0, 2)
Domain: [-3, 3]

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