Algebra 1 : Algebraic Functions

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #41 : Algebraic Functions

Possible Answers:

Correct answer:

Explanation:

Example Question #42 : Algebraic Functions

Possible Answers:

Correct answer:

Explanation:

Example Question #91 : Functions And Lines

.

Find .

Possible Answers:

Correct answer:

Explanation:

Finding means plugging in in place of x into the function . In this case, we are told that , so we are multiplying by 2 and then adding 17:

order of opperations tells us to first multiply:

and now add:

Example Question #42 : Algebraic Functions

.

Evaluate .

Possible Answers:

Correct answer:

Explanation:

Evaluating means plugging 5 in for x in the function . In this case, we are told that , so that is what we will do to 5 - multiply by 2, then square the product: 

order of opperations [PEMDAS] tells us that first we will be doing what is in the parentheses, so we will multiply first:

now we can square 10 for the final answer:

 

Example Question #43 : Algebraic Functions

.

Find .

Possible Answers:

Correct answer:

Explanation:

Evaluating means plugging in 2 for x in the function . In this case we are told that , so that is what we'll do with 2:

 Order of opperations [PEMDAS] tells us to do parentheses first, but no opperations are taking place in parentheses. Next we will do exponents:

The next step in order of opperations is multiplication, so we will next multiply 3 and 4:

finally we will subtract:

Example Question #42 : How To Find F(X)

If  is the reciprocal of the following function what is ?

Possible Answers:

Correct answer:

Explanation:

The question is asking for the reciprocal.

The reciprocal can be found by flipping the numerator and the denominator, effectively dividing 1 by the number.

becomes .

*Always remember what the question is asking.

Example Question #1 : Understand Functions: Ccss.Math.Content.8.F.A.1

Find .

Possible Answers:

Undefined

Correct answer:

Explanation:

This question demonstrates that complicated functions are not complicated at every point.

To solve the function at x=1, all that is necessary is familiarity with the operations used.

 

Example Question #43 : How To Find F(X)

Given a function , what is ?

Possible Answers:

Correct answer:

Explanation:

Given a function , we can plug in  to get 

Example Question #44 : How To Find F(X)

Given a function , what is ?

Possible Answers:

Correct answer:

Explanation:

Given a function , we can plug in  to get 

.

Example Question #45 : How To Find F(X)

Given a function , what is ?

Possible Answers:

None of the above

Correct answer:

Explanation:

Given a function , we can plug in  to get 

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