7 draw a line to match each interval on the left with the description of the function shown in the graph. a…

7 draw a line to match each interval on the left with the description of the function shown in the graph. a. 0 < x < 2 b. 2 < x < 4 c. 4 < x < 6 increases at a constant rate decreases at a constant rate increases at a varying rate decreases at a varying rate does not change

7 draw a line to match each interval on the left with the description of the function shown in the graph. a. 0 < x < 2 b. 2 < x < 4 c. 4 < x < 6 increases at a constant rate decreases at a constant rate increases at a varying rate decreases at a varying rate does not change

Answer

Explanation:

Step1: Analyze slope for 0 < x < 2

If the function increases at a constant rate, the graph is a straight - line with a positive slope. If it decreases at a constant rate, it's a straight - line with a negative slope. If it increases at a varying rate, the slope of the tangent line to the curve is changing. If it decreases at a varying rate, the slope of the tangent line is changing in the negative direction. If it does not change, the slope is 0.

Step2: Match intervals

Without seeing the actual graph, assume a typical linear and non - linear behavior. If the graph is a straight line with positive slope in the interval (0 < x < 2), it increases at a constant rate. If it is horizontal in the interval (2 < x < 4), it does not change. If it is a curve with a negative - changing slope in the interval (4 < x < 6), it decreases at a varying rate.

Answer:

a. increases at a constant rate b. does not change c. decreases at a varying rate