What type of parent function is this? What is the domain and range of this function? write it in interval notation

See below.

Step-by-step explanation:

This is a parabola. Therefore, it is a quadratic parent function. The quadratic parent function is:

The domain of the parent quadratic function is all real numbers.

The range of the parent quadratic function is all y-values greater than or equal to 0. From the graph, we can see that the graph never goes below 0.

So, the domain in interval notation is:

And the range in interval notation is:

This is interpreted as all values greater than or equal to 0.

And we're done!

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.