Sketch a graph of the function f(x)=\frac{1}{3}(x-5), 2\leq x \leq 8

Dottie Parra

Dottie Parra

Answered question

2021-07-28

Sketch a graph of the function. Use transformations of functions whenever possible. f(x)=13(x5),2x8

Answer & Explanation

Gennenzip

Gennenzip

Skilled2021-07-29Added 96 answers

We need to graph the given function f(x)=13(x5) for the restricted domain of 2x8. Since f(x) is linear, we can graph the function by finding its endpoints at x=2 and x=8 and then connecting the two points with a segment. Evaluating f(x) at x=2 and x=8 gives:
f(2)=13(25)=13(3)=1
f(8)=13(85)=13(3)=1
To graph f(x), you can then plot the endpoints of (2,-1) and (8,1) and then connect them with a segment:

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