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Algebra 1 : Algebraic Functions

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Example Questions

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Example Question #71 : How To Find F(X)

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

Possible Answers:

Correct answer:

Explanation:

Given a function

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

we can plug in x=3 to get

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

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Example Question #72 : How To Find F(X)

Given a function $f(x)=\frac{x^{2}-4x+11}{2}$ , what is f(7) ?

Possible Answers:

Correct answer:

Explanation:

Given a function

$f(x)=\frac{x^{2}-4x+11}{2}$ ,

we can plug in x=7 to get

$f(7)=\frac{(7)^{2}-4(7)+11}{2}=\frac{49-28+11}{2}=\frac{21+11}{2}=\frac{32}{2}=16$ .

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Example Question #73 : How To Find F(X)

Solve for : x-7=7 .

Possible Answers:

Correct answer:

Explanation:

In order to solve for in the above equation, we must isolate it on one side of the equation. We can do this by applying an operation to that is the inverse (opposite) of what's currently being applied to .

Given x-7=7 , we see that is being subtracted from , so we need to add to both sides of the equation to isolate :

x-7=7

x-7+7=7+7

x=14

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Example Question #74 : How To Find F(X)

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

Possible Answers:

$\frac{7}{2}$

$\frac{1}{2}$

$\frac{3}{2}$

$-\frac{1}{2}$

$\frac{5}{2}$

Correct answer:

$\frac{3}{2}$

Explanation:

Given a function

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

we can plug in x=2 to get

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

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Example Question #75 : How To Find F(X)

Given a function $f(x)=3x^{2}-10+2x$ , what is f(1) ?

Possible Answers:

Correct answer:

Explanation:

Given a function

$f(x)=3x^{2}-10+2x$ ,

we can plug in x=1 to get

$f(1)=3(1)^{2}-10+2(1)=3-10+2=-7+2=-5$ .

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Example Question #76 : How To Find F(X)

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

Possible Answers:

$\frac{8}{5}$

$\frac{3}{5}$

$\frac{3}{8}$

$\frac{8}{3}$

$\frac{5}{}8$

Correct answer:

$\frac{8}{3}$

Explanation:

Given a function

$f(x)=\frac{3}4{x}+\frac{5}{3}$ ,

we can plug in $x=\frac{4}{3}$ to get

$f(\frac{4}{3})=\frac{3}4({\frac{4}{3}})+\frac{5}{3}=1+\frac{5}{3}=\frac{3}{3}+\frac{5}{3}=\frac{8}{3}$ .

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Example Question #77 : How To Find F(X)

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

Possible Answers:

$\frac{31}{4}$

$\frac{32}{4}$

$\frac{33}{4}$

$\frac{29}{4}$

$\frac{30}{4}$

Correct answer:

$\frac{31}{4}$

Explanation:

Given a function

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

we can plug in x=2 to get

$f(2)=(2)^{3}-\frac{1}{(2)^{2}}=8-\frac{1}{4}=\frac{32}{4}-\frac{1}{4}=\frac{31}{4}$ .

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Example Question #78 : How To Find F(X)

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

Possible Answers:

170

160

190

180

150

Correct answer:

170

Explanation:

Given a function

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

we can plug in x=10 to get

$f(10)=2(10)^{2}-3(10)=200-30=170$ .

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Example Question #71 : How To Find F(X)

Given a function $f(x)=x-(\frac{x^{2}-1}{3})$ , what is f(5) ?

Possible Answers:

$-\frac{1}{3}$

$\frac{1}{3}$

$\frac{5}{3}$

Correct answer:

Explanation:

Given a function

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

we can plug in x=5 to get

$f(5)=5-\left(\frac{(5)^{2}-1}{3}\right)=5-\frac{24}{3}=5-8=-3$

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Example Question #80 : How To Find F(X)

Given the function f(x) = 4x+6 , what is $f(\frac{2}{7})$ ?

Possible Answers:

$\frac{12}{7}$

$\frac{48}{7}$

$\frac{24}{7}$

$\frac{50}{7}$

Correct answer:

$\frac{50}{7}$

Explanation:

Start by replacing the number with the term in the function.

$f(\frac{2}{7}) = 4(\frac{2}{7})+6$

Simplify by distributing the four with the two in the numerator.

$4(\frac{2}{7})+6 = \frac{8}{7}+6$

Convert $\frac{6}{1}$ to $\frac{42}{7}$ and replace so that fractions with like denominators can be added.

$\frac{8}{7}+6 = \frac{8}{7}+ \frac{42}{7} = \frac{50}{7}$

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Algebra 1 : Algebraic Functions

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #71 : How To Find F(X)

Example Question #72 : How To Find F(X)

Example Question #73 : How To Find F(X)

Example Question #74 : How To Find F(X)

Example Question #75 : How To Find F(X)

Example Question #76 : How To Find F(X)

Example Question #77 : How To Find F(X)

Example Question #78 : How To Find F(X)

Example Question #71 : How To Find F(X)

Example Question #80 : How To Find F(X)

All Algebra 1 Resources

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