QuestionFind the value of the function $f(x)=-3 x^{2}+10 x+2$ at $x=-6$ . What is $f(-6)$ ?

Studdy Solution

STEP 1

Assumptions1. The function is $f(x)=-3 x^{}+10 x+$ . We need to find the value of $f(-6)$

STEP 2

To find the value of $f(-6)$ , we need to substitute $-6$ for $x$ in the function.
$f(-6) = -(-6)^{2}+10(-6)+2$

STEP 3

First, calculate the value of $(-6)^{2}$ .
$(-6)^{2} =36$

STEP 4

Substitute $36$ for $(-6)^{2}$ in the function.
$f(-6) = -3(36)+10(-6)+2$

STEP 5

Calculate the value of $-3(36)$ .
$-3(36) = -108$

STEP 6

Substitute $-108$ for $-3(36)$ in the function.
$f(-6) = -108+10(-6)+2$

STEP 7

Calculate the value of $10(-6)$ .
$10(-6) = -60$

STEP 8

Substitute $-60$ for $10(-6)$ in the function.
$f(-6) = -108-60+2$

STEP 9

Calculate the value of $-108-60+2$ .
$-108-60+2 = -166$ So, $f(-6) = -166$ .

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QuestionFind the value of the function $f(x)=-3 x^{2}+10 x+2$ at $x=-6$ . What is $f(-6)$ ?

Studdy Solution

STEP 1

Assumptions1. The function is $f(x)=-3 x^{}+10 x+$ . We need to find the value of $f(-6)$

STEP 2

To find the value of $f(-6)$ , we need to substitute $-6$ for $x$ in the function.
$f(-6) = -(-6)^{2}+10(-6)+2$

STEP 3

First, calculate the value of $(-6)^{2}$ .
$(-6)^{2} =36$

STEP 4

Substitute $36$ for $(-6)^{2}$ in the function.
$f(-6) = -3(36)+10(-6)+2$

STEP 5

Calculate the value of $-3(36)$ .
$-3(36) = -108$

STEP 6

Substitute $-108$ for $-3(36)$ in the function.
$f(-6) = -108+10(-6)+2$

STEP 7

Calculate the value of $10(-6)$ .
$10(-6) = -60$

STEP 8

Substitute $-60$ for $10(-6)$ in the function.
$f(-6) = -108-60+2$

STEP 9

Calculate the value of $-108-60+2$ .
$-108-60+2 = -166$ So, $f(-6) = -166$ .

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QuestionFind the value of the function f(x)=−3x2+10x+2f(x)=-3 x^{2}+10 x+2f(x)=−3x2+10x+2 at x=−6x=-6x=−6. What is f(−6)f(-6)f(−6)?

Studdy Solution

STEP 1

Assumptions1. The function is f(x)=−3x+10x+f(x)=-3 x^{}+10 x+f(x)=−3x+10x+ . We need to find the value of f(−6)f(-6)f(−6)

STEP 2

To find the value of f(−6)f(-6)f(−6), we need to substitute −6-6−6 for xxx in the function.f(−6)=−(−6)2+10(−6)+2f(-6) = -(-6)^{2}+10(-6)+2f(−6)=−(−6)2+10(−6)+2

STEP 3

First, calculate the value of (−6)2(-6)^{2}(−6)2.(−6)2=36(-6)^{2} =36(−6)2=36

STEP 4

Substitute 363636 for (−6)2(-6)^{2}(−6)2 in the function.f(−6)=−3(36)+10(−6)+2f(-6) = -3(36)+10(-6)+2f(−6)=−3(36)+10(−6)+2

STEP 5

Calculate the value of −3(36)-3(36)−3(36).−3(36)=−108-3(36) = -108−3(36)=−108

STEP 6

Substitute −108-108−108 for −3(36)-3(36)−3(36) in the function.f(−6)=−108+10(−6)+2f(-6) = -108+10(-6)+2f(−6)=−108+10(−6)+2

STEP 7

Calculate the value of 10(−6)10(-6)10(−6).10(−6)=−6010(-6) = -6010(−6)=−60

STEP 8

Substitute −60-60−60 for 10(−6)10(-6)10(−6) in the function.f(−6)=−108−60+2f(-6) = -108-60+2f(−6)=−108−60+2

STEP 9

Calculate the value of −108−60+2-108-60+2−108−60+2.−108−60+2=−166-108-60+2 = -166−108−60+2=−166So, f(−6)=−166f(-6) = -166f(−6)=−166.

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QuestionFind the value of the function $f(x)=-3 x^{2}+10 x+2$ at $x=-6$ . What is $f(-6)$ ?

Assumptions1. The function is $f(x)=-3 x^{}+10 x+$ . We need to find the value of $f(-6)$

To find the value of $f(-6)$ , we need to substitute $-6$ for $x$ in the function.
$f(-6) = -(-6)^{2}+10(-6)+2$

First, calculate the value of $(-6)^{2}$ .
$(-6)^{2} =36$

Substitute $36$ for $(-6)^{2}$ in the function.
$f(-6) = -3(36)+10(-6)+2$

Calculate the value of $-3(36)$ .
$-3(36) = -108$

Substitute $-108$ for $-3(36)$ in the function.
$f(-6) = -108+10(-6)+2$

Calculate the value of $10(-6)$ .
$10(-6) = -60$

Substitute $-60$ for $10(-6)$ in the function.
$f(-6) = -108-60+2$

Calculate the value of $-108-60+2$ .
$-108-60+2 = -166$ So, $f(-6) = -166$ .