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Algebra 1 : Algebraic Functions

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Example Questions

Example Question #61 : Algebraic Functions

With the function $f(x)=4x^{2}-8x-2$ , find f(3)

Possible Answers:

f(3)=14

f(3)=10

f(3)=-2

f(3)=12

f(3)=-10

Correct answer:

f(3)=10

Explanation:

To find f(3) , we must plug in x=3 into the function:

$f(x)=4x^{2}-8x-2$

$f(3)=4(3)^{2}-8(3)-2$

f(3)=4(9)-8(3)-2

f(3)=36-24-2

f(3)=10

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Example Question #62 : Algebraic Functions

With the given function $f(x)=x^{2}-4x+5$ , find f(5)

Possible Answers:

f(5)=5

f(5)=10

f(5)=20

f(5)=-5

f(5)=50

Correct answer:

f(5)=10

Explanation:

To find f(5) we must plug in the value x=5 :

$f(x)=x^{2}-4x+5$

$f(5)=5^{2}-4(5)+5$

f(5)=25-20+5

f(5)=10

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Example Question #61 : How To Find F(X)

With the given function $f(x)=\frac{2x^{2}+7}{5}$ , find f(2) .

Possible Answers:

f(2)=3

f(2)=5

f(2)=-5

$f(2)=\frac{11}{5}$

f(2)=2

Correct answer:

f(2)=3

Explanation:

To find f(2) , we must plug in x=2 for the provided function:

$f(x)=\frac{2x^{2}+7}{5}$

$f(2)=\frac{2(2)^{2}+7}{5}$

$f(2)=\frac{8+7}{5}$

$f(2)=\frac{15}{5}$

f(2)=3

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Example Question #61 : How To Find F(X)

Given a function $f(x)=\frac{1}{2}x^{2}-3x+2$ , what is $f(\sqrt{2})$ ?

Possible Answers:

$3-\frac{3}{\sqrt{2}}$

$3+3\sqrt{2}$

$3-3\sqrt{2}$

$3+\frac{3}{\sqrt{2}}$

$3-\frac{\sqrt{2}}{3}$

Correct answer:

$3-3\sqrt{2}$

Explanation:

Given a function $f(x)=\frac{1}{2}x^{2}-3x+2$ , we can plug in $x=\sqrt{2}$ to get

$f(\sqrt{2})=\frac{1}{2}(\sqrt{2})^{2}-3(\sqrt{2})+2=1-3\sqrt{2}+2=3-3\sqrt{2}$

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Example Question #65 : Algebraic Functions

Given a function $f(x)=2x^{2}-x+3$ , what is f(3) ?

Possible Answers:

Correct answer:

Explanation:

Given a function $f(x)=2x^{2}-x+3$ , we can plug in x=3 to get

$f(3)=2(3)^{2}-(3)+3=18-3+3=18$ .

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Example Question #61 : Algebraic Functions

Given a function $f(x)=7-x^{2}+x$ , what is f(2) ?

Possible Answers:

Correct answer:

Explanation:

Given a function $f(x)=7-x^{2}+x$ , we can plug in x=2 to get

$f(2)=7-(2)^{2}+(2)=7-4+2=3+2=5$ .

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Example Question #67 : Algebraic Functions

Given a function $f(x)=3x^{2}-2x+5$ , what is f(4) ?

Possible Answers:

Correct answer:

Explanation:

Given a function

$f(x)=3x^{2}-2x+5$ ,

we can plug in x=4 to get

$f(4)=3(4)^{2}-2(4)+5=48-8+5=40+5=45$ .

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Example Question #68 : Algebraic Functions

Given a function $f(x)=9-(6x-x^{2})$ , what is f(2) ?

Possible Answers:

Correct answer:

Explanation:

Given a function

$f(x)=9-(6x-x^{2})$ ,

we can plug in x=2 to get

$f(2)=9-(6(2)-(2)^{2})=9-12+4=-3+4=1$ .

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Example Question #69 : Algebraic Functions

Given a function $f(x)=\frac{1}{2}x^{3}$ , what is f(6) ?

Possible Answers:

112

108

110

104

106

Correct answer:

108

Explanation:

Given a function

$f(x)=\frac{1}{2}x^{3}$ ,

we can plug in x=6 to get

$f(6)=\frac{1}{2}(6)^{3}=\frac{6\times6\times\6}{2}=\frac{216}{2}=108$ .

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Example Question #70 : Algebraic Functions

Given a function $f(x)=7x^{2}-9x+2$ , what is f(2) ?

Possible Answers:

Correct answer:

Explanation:

Given a function

$f(x)=7x^{2}-9x+2$ ,

we can plug in x=2 to get

$f(2)=7(2)^{2}-9(2)+2=28-18+2=10+2=12$

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Algebra 1 : Algebraic Functions

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #61 : Algebraic Functions

Example Question #62 : Algebraic Functions

Example Question #61 : How To Find F(X)

Example Question #61 : How To Find F(X)

Example Question #65 : Algebraic Functions

Example Question #61 : Algebraic Functions

Example Question #67 : Algebraic Functions

Example Question #68 : Algebraic Functions

Example Question #69 : Algebraic Functions

Example Question #70 : Algebraic Functions

All Algebra 1 Resources

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