Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and...

Question:

Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f.

{eq}f(x) = x^2 {/eq} if {eq}\ -1 \leq x \leq 0 \ \ {/eq},

{eq}7 - 8x \ \ {/eq} if {eq}\ \ 0 < x \leq 1 {/eq}

Absolute and minimum values

The absolute maximum points of a function are the largest that the function has and the absolute minimum are the smallest points that the function has.

We find relative maximum and minimum points in a specific range of the function.

Answer and Explanation:

We have the function {eq}f(x) = x^2 {/eq} if {eq}\ -1 \leq x \leq 0 \ \ {/eq},

{eq}7 - 8x \ \ {/eq} if {eq}\ \ 0 < x \leq 1 {/eq}

Graph the...

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How to Solve an Absolute Value Equation

from Math 101: College Algebra

Chapter 2 / Lesson 5
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