Algebra 1 : Functions and Lines

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #81 : How To Find F(X)

If 

 

find  .

Possible Answers:

Correct answer:

Explanation:

Given

we must find .  

All we do is substitute -4 for the variable x.  

So anywhere we see x, we will change to -4.  

We get

Example Question #83 : Algebraic Functions

Find  if

.

 

Possible Answers:

Correct answer:

Explanation:

Given , when solving

we simply substitute.  

In this case .  So anywhere we see an x, we will substitute -2.  So,

Example Question #81 : Algebraic Functions

If ,  solve

Possible Answers:

Correct answer:

Explanation:

When solving a function, we simply substitute the value into the equation.  So, we know .  So in the function

we substitute -4 in for x.  By doing that, we get

We now solve using the order of operations.  We get

Example Question #81 : How To Find F(X)

If , solve

 

 

Possible Answers:

Correct answer:

Explanation:

To solve a function, we simply substitute the value of x into the equation.  So, given that 

we will substitute into the function.

Example Question #86 : How To Find F(X)

If , then solve

Possible Answers:

Correct answer:

Explanation:

We know .  When solving a function, we substitute the value of x into the function.  In other words, anywhere we see an x, we will replace it with -4.

 

Example Question #131 : Functions And Lines

If , then solve

Possible Answers:

Correct answer:

Explanation:

We know  .  When solving a function, we substitute the value of x into the function.  In other words, anywhere we see an x, we will replace it with 3.

 

Example Question #131 : Functions And Lines

Given the following zeros, write out the polynomial function, but don't expand:

Possible Answers:

Correct answer:

Explanation:

To find the polynomial function given the zeros of the function, we must work backwards. If we know that each zero came from a term that was set equal to x, and this term was either added or subtracted to x, we can simply flip the sign on all of the zeros to get the polynomial function they came from:

Example Question #83 : How To Find F(X)

If , solve the following function:

Possible Answers:

Correct answer:

Explanation:

When solving a function, we substitute the value of x into the function itself.  So, we know that .  We will substitute this value into the given function.

 

Example Question #90 : How To Find F(X)

If , solve the following function:

Possible Answers:

Correct answer:

Explanation:

When solving a function, we will substitute the value of x into the function itself.  We know that , so we will substitute 6 into the function wherever we see the variable x.  So,

Example Question #3 : Understand Functions: Ccss.Math.Content.8.F.A.1

Define .

Evaluate .

Possible Answers:

Correct answer:

Explanation:

To evaluate  substitute six in for every x in the equation.

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