What is the range of this piecewise function

Answer as a compound inequality:

Answer in interval notation:  [-4, 2)

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Explanation:

The range is the set of all possible y outputs of a function. When dealing with a graph like this, we just look at the highest and lowest points to determine which y values are possible.

The lowest point occurs when y = -4. We include this value. So far we have which is the same as

The upper ceiling for the y value is y = 2. We can't actually reach this value because of the open hole at (-3,2). So we say that

Combine and to get the compound inequality

This says y is between -4 and 2, including -4 but excluding 2.

To convert this to interval notation, we write [-4, 2) where the square bracket says to include the endpoint and the curved parenthesis says to exclude the endpoint.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: