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Chapter 6: Q 105 (page 396)

What is the range of the secant function?

Short Answer

Expert verified

The range of secant function is :-

(-∞,-1]∪[1,∞).

Step by step solution

01

Step 1. Given Information 

We have to find the range of a secant function.

The range of a function is the set of its possible output values.

We will draw a graph of secant function using graphing utility, then calculate its range.

02

Step 2. Graph of Secant function    

By using graphing utility we can draw the graph of secant function as following :-

03

Step 3. Analyzing Range   

We draw the graph of secant function as following :-

We can see that all the values of yfor all values of xare lies from (-∞,-1]and [1,∞).

So we can conclude that range of secant function is(-∞,-1]∪[1,∞).

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