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Determine the value of
y, if
x is -11 .

y=|x|-1
Answer:

Determine the value of $y$ , if $x$ is $-11$ . $\newline$ $y=|x|-1$ $\newline$ Answer:

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Transformations of absolute value functions: translations, reflections, and dilations

Full solution

Q. Determine the value of

y

, if

x

is

-11

.

\newline

y=|x|-1

\newline

Answer:

Substitute $x$ in function: Substitute the value of $x$ into the function. $\newline$ We are given the function $y = |x| - 1$ and the value of $x$ is $-11$ . We need to substitute $-11$ for $x$ in the function. $\newline$ $y = |-11| - 1$
Evaluate absolute value: Evaluate the absolute value of $x$ . The absolute value of $-11$ is $11$ because the absolute value of a number is the distance of that number from zero on the number line, regardless of direction. $y = 11 - 1$
Perform subtraction: Perform the subtraction. $\newline$ Now we subtract $1$ from $11$ to find the value of $y$ . $\newline$ $y = 10$

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