2. look at this graph and write as much as you can using the words in the word bank (40%).\nword…

2. look at this graph and write as much as you can using the words in the word bank (40%).\nword bank\npositive slope negative slope domain\nrange function not a function\nzeroes/x intercept y - intercept infinity\nlinear nonlinear no solution\nconstant minimum maximum\nincreasing intervals decreasing intervals

2. look at this graph and write as much as you can using the words in the word bank (40%).\nword bank\npositive slope negative slope domain\nrange function not a function\nzeroes/x intercept y - intercept infinity\nlinear nonlinear no solution\nconstant minimum maximum\nincreasing intervals decreasing intervals

Answer

Explanation:

Step1: Check if it's a function

Use the vertical - line test. Since any vertical line intersects the graph at most once, it is a function.

Step2: Determine the domain

The graph exists for (x) values from approximately (x=- 8) to (x = 9). So the domain is ([-8,9]).

Step3: Determine the range

The (y) values range from approximately (y=-7) to (y = 8). So the range is ([-7,8]).

Step4: Find the (x) - intercepts

The graph crosses the (x) - axis at approximately (x=-6), (x = 2) and (x=5). These are the zeroes or (x) - intercepts.

Step5: Find the (y) - intercept

The graph crosses the (y) - axis at approximately (y = 1). This is the (y) - intercept.

Step6: Analyze the slope

There are parts with positive slope (e.g., from (x = 5) to (x=8)) and parts with negative slope (e.g., from (x=-8) to (x=-6)).

Step7: Check linearity

The graph is made up of line - segments, but overall it is nonlinear because it is not a single straight line.

Step8: Find minimum and maximum

The minimum value of (y) is approximately (-7) and the maximum value of (y) is approximately (8).

Step9: Determine increasing and decreasing intervals

Increasing intervals: approximately ((-8,-6)), ((2,5)) and ((5,8)). Decreasing intervals: approximately ((-6,2)) and ((8,9)).

Answer:

This is a function. The domain is ([-8,9]), the range is ([-7,8]). The (x) - intercepts are approximately (x=-6), (x = 2) and (x = 5), the (y) - intercept is approximately (y = 1). It has parts with positive and negative slopes. It is nonlinear. The minimum value is approximately (-7) and the maximum value is approximately (8). Increasing intervals are approximately ((-8,-6)), ((2,5)) and ((5,8)); decreasing intervals are approximately ((-6,2)) and ((8,9)).