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Algebra 1 : Functions and Lines

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Example Questions

Example Question #61 : Algebraic Functions

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

Possible Answers:

f(5)=10 $\displaystyle f(5)=10$

f(5)=20 $\displaystyle f(5)=20$

f(5)=-5 $\displaystyle f(5)=-5$

f(5)=50 $\displaystyle f(5)=50$

f(5)=5 $\displaystyle f(5)=5$

Correct answer:

f(5)=10 $\displaystyle f(5)=10$

Explanation:

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

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

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

$\displaystyle f(5)=25-20+5$

f(5)=10 $\displaystyle f(5)=10$

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

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

Possible Answers:

f(2)=3 $\displaystyle f(2)=3$

f(2)=5 $\displaystyle f(2)=5$

f(2)=-5 $\displaystyle f(2)=-5$

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

f(2)=2 $\displaystyle f(2)=2$

Correct answer:

f(2)=3 $\displaystyle f(2)=3$

Explanation:

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

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

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

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

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

f(2)=3 $\displaystyle f(2)=3$

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

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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

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

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

Possible Answers:

$\displaystyle 20$

$\displaystyle 16$

$\displaystyle 24$

$\displaystyle 22$

$\displaystyle 18$

Correct answer:

$\displaystyle 18$

Explanation:

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

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

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Example Question #3391 : Algebra 1

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

Possible Answers:

$\displaystyle 6$

$\displaystyle 5$

$\displaystyle 2$

$\displaystyle 4$

$\displaystyle 3$

Correct answer:

$\displaystyle 5$

Explanation:

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

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

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Example Question #67 : Algebraic Functions

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

Possible Answers:

$\displaystyle 43$

$\displaystyle 42$

$\displaystyle 45$

$\displaystyle 46$

$\displaystyle 44$

Correct answer:

$\displaystyle 45$

Explanation:

Given a function

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

we can plug in x=4 to get

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

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

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

Possible Answers:

$\displaystyle 0$

$\displaystyle 3$

$\displaystyle 2$

$\displaystyle 1$

$\displaystyle -1$

Correct answer:

$\displaystyle 1$

Explanation:

Given a function

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

we can plug in x=2 $\displaystyle x=2$ to get

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

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Example Question #69 : Algebraic Functions

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

Possible Answers:

112 $\displaystyle 112$

108 $\displaystyle 108$

110 $\displaystyle 110$

104 $\displaystyle 104$

106 $\displaystyle 106$

Correct answer:

108 $\displaystyle 108$

Explanation:

Given a function

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

we can plug in x=6 $\displaystyle x=6$ 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 #3401 : Algebra 1

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

Possible Answers:

$\displaystyle 12$

$\displaystyle 16$

$\displaystyle 19$

$\displaystyle 18$

$\displaystyle 14$

Correct answer:

$\displaystyle 12$

Explanation:

Given a function

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

we can plug in x=2 $\displaystyle x=2$ to get

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

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Example Question #3401 : Algebra 1

Given a function $f(x)=-(x^{2})+4x-10$ $\displaystyle f(x)=-(x^{2})+4x-10$ , what is f(3) $\displaystyle f(3)$ ?

Possible Answers:

$\displaystyle 7$

$\displaystyle -6$

$\displaystyle 6$

$\displaystyle 14$

$\displaystyle -7$

Correct answer:

$\displaystyle -7$

Explanation:

Given a function

$f(x)=-(x^{2})+4x-10$ $\displaystyle f(x)=-(x^{2})+4x-10$ ,

we can plug in x=3 $\displaystyle x=3$ to get

$f(x)=-((3)^{2})+4(3)-10=-9+12-10=3-10=-7$ $\displaystyle f(x)=-((3)^{2})+4(3)-10=-9+12-10=3-10=-7$ .

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Algebra 1 : Functions and Lines

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #61 : Algebraic Functions

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

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

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

Example Question #3391 : Algebra 1

Example Question #67 : Algebraic Functions

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

Example Question #69 : Algebraic Functions

Example Question #3401 : Algebra 1

Example Question #3401 : Algebra 1

All Algebra 1 Resources

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