Question

I need help answering this questionThird part: What is the range of the function?

Answer 1

From the graph we can see that the value of y when x is less than 0 is y = 0. Also we can see that the value of y when x is bigger than 0 is y = 2

The thing we need to look at now is the circles in x = 0. The filled circle is in y = 0, which implies y = 0 for x less or equal than 0.

Thus the answer is:

Option B:

`f(x)=\begin{cases}0,\text{ if }x\le0 \\ 2,\text{ if }x>0\end{cases}`

Please check the solution I gave in the Answer Tab. Do you understand what I did?

Second part of the question:

Since the function is defined for all values of x, the domain are all real numbers. In interval notation,

Option B:

`\text{The domain is }(-\infty,\infty)\text{.}`

Third part of the question:

The range are all the values of y that the function takes. Since the function has only 2 values of y: 0 and 2, the range is:

`\text{The range is }\mleft\lbrace0,2\mright\rbrace`