maximtimofeev3070
Answered

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

Sagot :

semsee45

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]

lleen3569

Step-by-step explanation:

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