Melissa plotted the graph of a function. the function contains the points (2,4) and (3,6). the domain of the function is all whole numbers. mr. wilson reviewed her work and said that the graph is incorrect. explain why this graph is incorrect.

Attached below, is the image of Melissa's graph.

The reason why the graph is incorrect is that while the domain of the function is all whole numbers, the domain for the graph is all positive integers. Given that the domain of the function is all whole numbers (which includes both positive and negative integers), the proper way for Melissa to have drawn the graph would be to have continue the line all the way from negative infinity to positive infinity. This means, the line should have spanned both quadrant I (+, +) and quadrant III (-, -) and the arrow should have been drawn on the negative side as well.

1. 8 or -82. 14 or -143. -11, -3, 0, 7, 10

and y≤ -x +4 .

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

y≤ -x +4 .