What is the domain of the function y=x?
-o 0 0 1

Here's my step-by-step explanation:

The function y = x looks like the attached file. It has no bounds.

It's a continuous function because if you were the poor kid who has to sketch it from the negative infinity to the positive infinity, then you will never have to lift your pencil. There are no gaps or undefined values or spaces that would interrupt that pencil flow.

Therefore, the domain contains all real numbers.

⇔There is no inequality notation.

⇔Interval notation: (-∞,∞)

⇔Set notation: {x : x ∈ R}

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

42.4

step-by-step explanation:

convert to decimal