Mapping and Functions
Map the given points.
(2,-1), (-2,1), (3,0), (5,0)
show map 1
Find the slope of a line that passes through (-1,5) and (7,-11)
-2
What makes a graph NOT proportional?
2 reasons
If it doesn’t go through the origin
Negative slope
Graph the relation
A= {(-4,-1), (-1,3), (0,-2), (2,4), (4,0)}
Show map 4
What signs make dashed lines and what signs make solid lines?
<, > are dashed
<, > are solid
State whether the mapping is of a function or not. Explain
show mapping A
No, there is not one out-put to one in-put.
Find the y-intercept of 3x - 2y = 18.
-9
State whether the graph is proportional. And explain why.
Show graph 1.
No, does not go through the origin.
Graph the equation
y=1/2x + 3
Show graph 4
Graph the inequality
y > -2x
graph, through the origin, dashed line, shaded above
Graph 7
State whether the mapping is a function or not. Explain
show mapping B
yes, there is only one out-put to each in-put.
Find the x-intercept of 3x - 2y = 18.
6
State whether the graph is proportional and explain why or why not.
Show graph 2
Yes, it has a positive slope and passes through the origin.
Graph the equation
x - y = 3
Hint: get it in y=mx+b
Show graph 5
Graph the inequality
3x - 2y > 6
down 3, slope 3/2, solid line, shaded below
Graph 8
State whether the graph is a function or not. Explain
show graph 3
Find the slope of 6x + 3y = 8
Hint: get y by itself, y=mx+b
m = -2
State whether the table represents a proportion and explain why or why not.
X 4 10 16
y 18 45 72
Yes, the rate of change of x/y is constant.
Write an equation of the line on the graph.
graph 6
y = -2x - 3
What happens to the sign when you divide by a negative?
Flip the sign.
What makes a function a function?
Hint: In-put and out-put
The in-puts cannot repeat.
Find the x- and the y- intercept of
6x +3y =8
Hint: plug in zeros for each.
X-intercept: (4/3, 0)
y-intercept: (0, 8/3)
State whether the table is proportional or not and explain why or why not.
X 2 4 6 8
Y 3 4 6 9
No, x/y is not consistent
Write an equation in slope-intercept form for the line passing through the given points
x -2 1 4 7
y 5 11 17 23
y = 2x + 9
Graph the inequality x > -3
Vertical line on x=-3, shaded on the right side, solid line.