QuestionFind the value of $f(8)$ for the function $f(x)=|x-3|-5$ .

Studdy Solution

STEP 1

Assumptions1. The function is $f(x) = |x-3|-5$ . We need to find the value of the function when $x=8$ , i.e., $f(8)$

STEP 2

To find $f(8)$ , we need to substitute $x=8$ into the function $f(x)$ .
$f(8) = |8-|-5$

STEP 3

Calculate the value inside the absolute value function.
$f(8) = |5|-5$

STEP 4

The absolute value of any number is always positive or zero. So, the absolute value of is.
$f(8) =-$

STEP 5

Subtract5 from5.
$f(8) =0$ So, $f(8) =0$ .

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QuestionFind the value of $f(8)$ for the function $f(x)=|x-3|-5$ .

Studdy Solution

STEP 1

Assumptions1. The function is $f(x) = |x-3|-5$ . We need to find the value of the function when $x=8$ , i.e., $f(8)$

STEP 2

To find $f(8)$ , we need to substitute $x=8$ into the function $f(x)$ .
$f(8) = |8-|-5$

STEP 3

Calculate the value inside the absolute value function.
$f(8) = |5|-5$

STEP 4

The absolute value of any number is always positive or zero. So, the absolute value of is.
$f(8) =-$

STEP 5

Subtract5 from5.
$f(8) =0$ So, $f(8) =0$ .

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QuestionFind the value of f(8)f(8)f(8) for the function f(x)=∣x−3∣−5f(x)=|x-3|-5f(x)=∣x−3∣−5.

Studdy Solution

STEP 1

Assumptions1. The function is f(x)=∣x−3∣−5f(x) = |x-3|-5f(x)=∣x−3∣−5 . We need to find the value of the function when x=8x=8x=8, i.e., f(8)f(8)f(8)

STEP 2

To find f(8)f(8)f(8), we need to substitute x=8x=8x=8 into the function f(x)f(x)f(x).f(8)=∣8−∣−5f(8) = |8-|-5f(8)=∣8−∣−5

STEP 3

Calculate the value inside the absolute value function.f(8)=∣5∣−5f(8) = |5|-5f(8)=∣5∣−5

STEP 4

The absolute value of any number is always positive or zero. So, the absolute value of is.f(8)=−f(8) =-f(8)=−

STEP 5

Subtract5 from5.f(8)=0f(8) =0f(8)=0So, f(8)=0f(8) =0f(8)=0.

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QuestionFind the value of $f(8)$ for the function $f(x)=|x-3|-5$ .

Assumptions1. The function is $f(x) = |x-3|-5$ . We need to find the value of the function when $x=8$ , i.e., $f(8)$

To find $f(8)$ , we need to substitute $x=8$ into the function $f(x)$ .
$f(8) = |8-|-5$

Calculate the value inside the absolute value function.
$f(8) = |5|-5$

The absolute value of any number is always positive or zero. So, the absolute value of is.
$f(8) =-$

Subtract5 from5.
$f(8) =0$ So, $f(8) =0$ .