Question

PLEASE HELP

Answer these three questions. There are 3 images attached below and they apply to each question, in order.
1)
a) Is this a function? Why or why not?
b) What is the domain?
c) What is the range?


2)
a) Is this a function? Why or why not?
b) What is the domain?
c) What is the range?



3)
a) Is this a function? Why or why not?
b) What is the domain?
c) What is the range?

Answer 1

1. a. Yes. Every point in the domain maps to only one point in the range.
1. b. Presumably, all values of
`x\in\mathbb R` belong to the domain.
1. c. As the graph depicts, the function takes on all values greater than and including
`y=-4`, i.e.
`y=f(x)\ge4`.

2. a. No. For all
`x>2`, there are two values in the range that
`x` maps to. For instance, when
`x=3`, we have, approximately,
`y=\pm1.5`.
2. b. All
`x\ge2`.
2. c. All
`y\in\mathbb R`.

3. a. No. When
`x=-3`, we have
`y=\pm2`.
3. b. Assuming each point shown on the plot are all the points, then the domain is
`x\in\{-3,-2,-1,0,1,3\}`.
3. c.
`y\in\{\pm2,5,\pm1,3}`.