Precalculus : Piecewise Functions

Study concepts, example questions & explanations for Precalculus

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Example Questions

Example Question #1 : Special Functions

Let

What does  equal when ?

Possible Answers:

Correct answer:

Explanation:

Because 3>0 we plug the x value into the bottom equation.

Example Question #2 : Special Functions

Let

What does  equal when ?

Possible Answers:

Correct answer:

Explanation:

Because  we use the first equation.

Therefore, plugging in x=0 into the above equation we get the following,

.

Example Question #3 : Special Functions

Determine the value of  if the function is

Possible Answers:

Correct answer:

Explanation:

In order to determine the value of  of the function we set  

The value comes from the function in the first row of the piecewise function, and as such

Example Question #21 : Functions

Determine the value of  if the function is



Possible Answers:

Correct answer:

Explanation:

In order to determine the value of  of the function we set  

The value comes from the function in the first row of the piecewise function, and as such

Example Question #5 : Special Functions

For the function  defined below, what is the value of  when ?

Possible Answers:

3

8

-2

7

0

Correct answer:

8

Explanation:

Evaluate the function for . Based on the domains of the three given expressions, you would use , since  is greater than or equal to .

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