Question

Introduction to Piecewise Functions

Use interval notation to write the correct domains. Type the word infinity to get the symbol.



Function
Ex: (-∞,2]U(3,9]
Correct
To write a union of 2 sets use a capital U in-between
the interval notation.
Question
Part of the range will include a single y value where
we can write as [8].
Write your intervals without extra spaces to be
checked correct.

Answer 1

The domain of the function f(x) = 8 for 0 ≤ x ≤ 20 is represented in interval notation as [0,20]. The range is a single value, represented as [8].

The subject of the question is Piecewise Functions within the broader field of Mathematics, more specifically addressing the domain and range in interval notation.

When we consider a function like f(x) = 8 for 0 ≤ x ≤ 20, the graph of this function is a horizontal line at y=8, spanning from x=0 to x=20.

This line represents all the y-values that are equal to 8 for this domain.

Consequently, the domain of this function in interval notation would simply be [0,20], as x can take any value within this closed interval.

When expressing a single y-value in the range,

you can denote it with a single set bracket like [8], indicating that 8 is the only output of this function over the specified domain.