QuestionFind the value of the function $f(x)=-x^{2}-10 x$ at $x=-2$ . What is $f(-2)$ ?

Studdy Solution

STEP 1

Assumptions1. The function is $f(x)=-x^{}-10x$ . We need to find the value of the function at $x=-$

STEP 2

To find the value of the function at $x=-2$ , we need to substitute $x=-2$ into the function.
$f(-2) = -(-2)^{2}-10(-2)$

STEP 3

First, calculate the value of $(-2)^{2}$ .
$(-2)^{2} =$ So, the function becomes $f(-2) = - -10(-2)$

STEP 4

Next, calculate the value of $10(-2)$ .
$10(-2) = -20$ So, the function becomes $f(-2) = -4 - (-20)$

STEP 5

Subtracting a negative number is the same as adding the positive of that number. So, the function becomes $f(-2) = -4 +20$

STEP 6

Finally, calculate the value of $-4 +20$ .
$f(-2) = -4 +20 =16$ So, $f(-2) =16$ .

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QuestionFind the value of the function $f(x)=-x^{2}-10 x$ at $x=-2$ . What is $f(-2)$ ?

Studdy Solution

STEP 1

Assumptions1. The function is $f(x)=-x^{}-10x$ . We need to find the value of the function at $x=-$

STEP 2

To find the value of the function at $x=-2$ , we need to substitute $x=-2$ into the function.
$f(-2) = -(-2)^{2}-10(-2)$

STEP 3

First, calculate the value of $(-2)^{2}$ .
$(-2)^{2} =$ So, the function becomes $f(-2) = - -10(-2)$

STEP 4

Next, calculate the value of $10(-2)$ .
$10(-2) = -20$ So, the function becomes $f(-2) = -4 - (-20)$

STEP 5

Subtracting a negative number is the same as adding the positive of that number. So, the function becomes $f(-2) = -4 +20$

STEP 6

Finally, calculate the value of $-4 +20$ .
$f(-2) = -4 +20 =16$ So, $f(-2) =16$ .

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QuestionFind the value of the function f(x)=−x2−10xf(x)=-x^{2}-10 xf(x)=−x2−10x at x=−2x=-2x=−2. What is f(−2)f(-2)f(−2)?

Studdy Solution

STEP 1

Assumptions1. The function is f(x)=−x−10xf(x)=-x^{}-10xf(x)=−x−10x . We need to find the value of the function at x=−x=-x=−

STEP 2

To find the value of the function at x=−2x=-2x=−2, we need to substitute x=−2x=-2x=−2 into the function.f(−2)=−(−2)2−10(−2)f(-2) = -(-2)^{2}-10(-2)f(−2)=−(−2)2−10(−2)

STEP 3

First, calculate the value of (−2)2(-2)^{2}(−2)2.(−2)2=(-2)^{2} =(−2)2=So, the function becomesf(−2)=−−10(−2)f(-2) = - -10(-2)f(−2)=−−10(−2)

STEP 4

Next, calculate the value of 10(−2)10(-2)10(−2).10(−2)=−2010(-2) = -2010(−2)=−20So, the function becomesf(−2)=−4−(−20)f(-2) = -4 - (-20)f(−2)=−4−(−20)

STEP 5

Subtracting a negative number is the same as adding the positive of that number. So, the function becomesf(−2)=−4+20f(-2) = -4 +20f(−2)=−4+20

STEP 6

Finally, calculate the value of −4+20-4 +20−4+20.f(−2)=−4+20=16f(-2) = -4 +20 =16f(−2)=−4+20=16So, f(−2)=16f(-2) =16f(−2)=16.

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QuestionFind the value of the function $f(x)=-x^{2}-10 x$ at $x=-2$ . What is $f(-2)$ ?

Assumptions1. The function is $f(x)=-x^{}-10x$ . We need to find the value of the function at $x=-$

To find the value of the function at $x=-2$ , we need to substitute $x=-2$ into the function.
$f(-2) = -(-2)^{2}-10(-2)$

First, calculate the value of $(-2)^{2}$ .
$(-2)^{2} =$ So, the function becomes $f(-2) = - -10(-2)$

Next, calculate the value of $10(-2)$ .
$10(-2) = -20$ So, the function becomes $f(-2) = -4 - (-20)$

Subtracting a negative number is the same as adding the positive of that number. So, the function becomes $f(-2) = -4 +20$

Finally, calculate the value of $-4 +20$ .
$f(-2) = -4 +20 =16$ So, $f(-2) =16$ .