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In $3-6,$ find the coordinates of the ordered pair with the smallest value of $y$ for each function.$$g(x)=|5-x|$$

$(5,0)$

Algebra

Chapter 4

RELATIONS AND FUNCTIONS

Section 4

Absolute Value Functions

An Introduction to Geometry

Functions

Linear Functions

Polynomials

Campbell University

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Idaho State University

Lectures

01:32

In mathematics, the absolu…

01:11

01:09

In $3-6,$ find the coordin…

01:56

01:26

Find three ordered pairs t…

00:43

Complete the given ordered…

01:02

01:19

Find the maximum value and…

04:39

04:13

Find the maximum and the m…

01:18

Find the maximum or minimu…

All right, So in this exercise, we want to find the coordinates of wth e ordered pair that make the smallest value of why, for the function G of X equals the absolute value of five minus X. So what this really means is why equals the absolute value of five minus X, and the smallest y value that we can have for an absolute value function is always going to be zero, because an absolute value function can never take on a negative value. And so now we need to find the ex Corn. And that makes this why value equal to zero. And so that is obviously going to be five, because five minus 50 So the coordinates that satisfy this equation are five for X and zero for why? So if we plug those in, we get zero equals the absolute value of five minus five. Oh, oops, equals zero. And so it checks out

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