Question

Use the graph below to answer the following questionsnegative sine graph with local maxima at about (-3,55) and local minima at (3,55)1. Estimate the intervals where the function is increasing.2. Estimate the intervals where the function is decreasing.3. Estimate the local extrema.4. Estimate the domain and range of this graph.

Answer 1

1. Increasing on ( -inf, -3] and ( 3, inf)

2. decreasing on (-3, 3]

3. Local maximum: 60, Local minimum: -60

4. Domain: (-inf , inf)

Range: [-60, 60]

Step-by-step explanation:

1.

A function is increasing when its slope is positive. Now, in our case we can see that the slope of f(x) is postive from - infinity to -3 and then it is negatvie from -3 to 3; it again increasing from 3 to infinity.

Therefore, we c