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Algebra 1 : Algebraic Functions

Study concepts, example questions & explanations for Algebra 1

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10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #51 : Algebraic Functions

Given a function $f(x)=2x^{2}-x+8$ , what is f(3) ?

Possible Answers:

Correct answer:

Explanation:

Given a function $f(x)=2x^{2}-x+8$ , we can plug in x=3 to get

$\\f(3)=2(3)^{2}-(3)+8\\=18-3+8\\=15+8\\=23$ .

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Example Question #52 : How To Find F(X)

Given a function $f(x)=5x^{2}+5x+9$ , what is f(7) ?

Possible Answers:

292

291

290

293

289

Correct answer:

289

Explanation:

Given a function $f(x)=5x^{2}+5x+9$ , we can plug in x=7 to get

$\\f(7)=5(7)^{2}+5(7)+9\\=5(49)+35+9\\=245+44\\=289$ .

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Example Question #53 : How To Find F(X)

Given a function $f(x)=\frac{1}{2}x^{2}-11x+8$ , what is f(-2) ?

Possible Answers:

Correct answer:

Explanation:

Given a function $f(x)=\frac{1}{2}x^{2}-11x+8$ , we can plug in x=-2 to get

$\\f(-2)=\frac{1}{2}(-2)^{2}-11(-2)+8\\=2+22+8\\=2+30\\=32$ .

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Example Question #54 : How To Find F(X)

Given a function $f(x)=x^{2}-\frac{1}{2}x+\frac{3}{4}$ , what is f(2) ?

Possible Answers:

$\frac{15}{4}$

$\frac{19}{4}$

$\frac{17}{4}$

$\frac{13}{4}$

$\frac{21}{4}$

Correct answer:

$\frac{15}{4}$

Explanation:

Given a function

$f(x)=x^{2}-\frac{1}{2}x+\frac{3}{4}$ ,

we can plug in x=2 to get

$\\f(2)=(2)^{2}-\frac{1}{2}(2)+\frac{3}{4}\\ \\=4-1+\frac{3}{4}\\ \\=3+\frac{3}{4}\\ \\=\frac{12}{4}+\frac{3}{4}\\ \\=\frac{15}{4}$

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Example Question #55 : How To Find F(X)

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

Possible Answers:

Correct answer:

Explanation:

Given a function

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

we can plug in x=3 to get

$\\ f(3)=(3)^{3}+2(3)^{2}+5(3)\\ \\=27+18+15\\ \\=27+33\\ \\=60$ .

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Example Question #56 : How To Find F(X)

Given a function $f(x)=-7x^{2}-6x^{2}+15$ , what is f(1) ?

Possible Answers:

Correct answer:

Explanation:

Given a function

$f(x)=-7x^{2}-6x^{2}+15$ ,

we can plug in x=1 to get

$\\ f(1)=-7(1)^{2}-6(1)^{2}+15\\ \\=-7-6+15\\ \\=-13+15\\ \\=2$ .

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Example Question #57 : How To Find F(X)

Given a function $f(x)=x^{3}-9x+3$ , what is f(3) ?

Possible Answers:

Correct answer:

Explanation:

Given a function $f(x)=x^{3}-9x+3$ , we can plug in x=3 to get

$\\ f(3)=(3)^{3}-9(3)+3 \\=27-27+3\\=3$ .

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Example Question #58 : How To Find F(X)

Given a function $f(x)=2x^{2}+5x-9$ , what is f(2) ?

Possible Answers:

Correct answer:

Explanation:

Given a function $f(x)=2x^{2}+5x-9$ , we can plug in x=2 to get

$\\f(2)=2(2)^{2}+5(2)-9\\=8+10-9\\=18-9\\=9$ .

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Example Question #59 : How To Find F(X)

Given a function $f(x)=\frac{1}{2}x^{2}-\frac{1}{6}x-4$ , what is f(4) ?

Possible Answers:

$\frac{13}{3}$

$\frac{11}{3}$

$\frac{10}{3}$

Correct answer:

$\frac{10}{3}$

Explanation:

Given a function $f(x)=\frac{1}{2}x^{2}-\frac{1}{6}x-4$ , we can plug in x=4 to get

$\\f(4)=\frac{1}{2}(4)^{2}-\frac{1}{6}(4)-4\\ \\=8-\frac{2}{3}-4\\ \\=4-\frac{2}{3}\\ \\=\frac{10}{3}$ .

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Example Question #60 : How To Find F(X)

For the function $f(x)=2x^{2}-6x+7$ , find f(-1)

Possible Answers:

f(-1)=12

f(-1)=3

f(-1)=9

f(-1)=15

f(-1)=-1

Correct answer:

f(-1)=15

Explanation:

To find f(-1) , we must plug x=-1 into the provided function:

$f(x)=2x^{2}-6x+7$

$f(-1)=2(-1)^{2}-6(-1)+7$

f(-1)=2(1)-6(-1)+7

f(-1)=2+6+7

f(-1)=15

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Algebra 1 : Algebraic Functions

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #51 : Algebraic Functions

Example Question #52 : How To Find F(X)

Example Question #53 : How To Find F(X)

Example Question #54 : How To Find F(X)

Example Question #55 : How To Find F(X)

Example Question #56 : How To Find F(X)

Example Question #57 : How To Find F(X)

Example Question #58 : How To Find F(X)

Example Question #59 : How To Find F(X)

Example Question #60 : How To Find F(X)

All Algebra 1 Resources

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