Algebra 1 : Algebraic Functions

Example Questions

Example Question #31 : Algebraic Functions

Define  and .

Evaluate .

is undefined.

Explanation:

First evaluate  and , then subtract.

Example Question #32 : Algebraic Functions

If , then which of the following is equivalent to ?

Explanation:

Plug in  for .

FOIL the squared term and distribute -4:

Distribute the 2:

Combine like terms:

Example Question #31 : Algebraic Functions

Define  .

If , evaluate .

Explanation:

Plug in as if it were a constant, and then solve for its value:

Example Question #32 : Algebraic Functions

is defined as the least integer greater than or equal to

Define .

Evaluate .

Explanation:

Plug in 5.5:

Example Question #35 : Algebraic Functions

Find .

Explanation:

Plug into .

Now plug that into :

Example Question #33 : Algebraic Functions

Solve for . When

Explanation:

Given the equation,

and

Plug in  for  to the equation,

Solve and simplify.

Example Question #37 : Algebraic Functions

Solve for , when .

Explanation:

Plug in the  value for .

Simplify

Subtract

Example Question #38 : Algebraic Functions

For the following equation, if x = 2, what is y?

16

9

25

7

1

9

Explanation:

On the equation, replace x with 2 and then simplify.

Example Question #12 : Function Notation

Solve for  when .

Does not exist

Explanation:

Plug 3 in for x:

Simplify:

=

= 5

Example Question #13 : Function Notation

What is of the following equation?