Answer
Relative maximum: $(1.5,0.25)$
Work Step by Step
We are given the function:
$f(x)=-x^2+3x-2$
Use a graphing utility to graph the function. Then we zoom in to find the relative maxima/minima:
Relative maximum: $(1.5,0.25)$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/7112c2bd-d4b7-45b8-b6de-ddadc16603f2/steps_image/small_1586643768.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T003235Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=c0b8b5e5f8bf832ce6b8a338206ab4a00b88d13619eb0d52d9a5fb804c715a66)
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