Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Find the range of f(-5)=-2|x-5|+8 please with explination.

Sagot :

Answer:

Domain: set of possible input values (x-values)

Range: set of output values (y-values)

The range for the function [tex]f(x)=-2|x-5|+8[/tex] is:

[tex]f(x)\leq 8[/tex]

(5, 8) is the vertex of the line

Because |x - 5| is absolute (so always positive) and it is multiplied by -2,

-2|x - 5| will always be negative unless x = 5 (when it will be zero).  Therefore, the max y-value is 8.

However, your question actually asked what the function is when x = -5:

[tex]f(-5)=-2|x-5|+8\\\\= -2|-5-5|+8\\\\= -12[/tex]

Step-by-step explanation:

Thats the all rhe answers step by step

View image lleen3569
View image lleen3569
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.