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Chapter 14: Q. 14 (page 889)

In Problems 13鈥�32, use the accompanying graph of y=f(x).

What is the range of f?

Short Answer

Expert verified

The range is-鈭�,鈭�.

Step by step solution

01

Step. 1 What is range?

Range of a function is the value of the function in the defined domain of that function. We are given with a graph it means all the values of on y-axis we have in our graph is our range.

02

Step. 2 Calculation of range.

See the interval of [-8,-6),

in this interval the value of f(x) goes from (0,鈭�).

Similarly see the interval of (-6,-4),

in this interval the value of f(x) goes from (-鈭�,2).

With the help of only these two intervals we can take union of these intervals and we get

(-鈭�,2)鈭�(0,鈭�)=(-鈭�,鈭�).

Hence, the range of the function is R.

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