Target 5
What is point-slope form, and what is slope-intercept form?
y-y1=m(x-x1); y=mx+b
When graphing linear inequalities, these kind of lines are dashed.
< or > lines
When looking a graph, you can tell if a something is a function by seeing if it passes the what? Explain what how to do this test.
Vertical line test; need to see if the vertical line touches more than one spot on the graph at a time
A function that is defined by two or more functions described by specific domains is called a?
Piecewise function
Must see graph
Given the equation y=(3/2)x+5, what is the slope of the equation that is parallel to that?
3/2
When graphing a linear inequality you must remember to do what after you have graphed the line?
Shade!!!!
Would a circle be a function? Yes or no, and why?
No, it would fail the vertical line test.
Given the f(x)=2x+7, what is f(-3)?
1
Please put 2/3 +3/4y=1/2x in standard form
6x-9y=8
What is the slope of the line that passes through the points (3,4) and (-6,8)?
-4/9
below
Does the following list of points represent a function of x? If not why? {(3,-2), (5,-2), (4, 3), (3, -2), (7, 8), (5, -1)}
No, because 5 is matched to two different y values.
Given f(x)=-5/(x+5), what is f(3+b)?
f(3+b)=-5/(8+b)
Solve l4x+2l=3x
no solution
Write the equation of the line that goes through the points (5,7) and (0,9) in point-slope form.
y-7=-2/5(x-5) or y-9=-2/5x
Solve the linear inequality system by graphing: 2x-3y>6 4x+2y<8
Must see the graph
What is the domain and range of function #1 drawn on the board?
Domain (-3,6]
Range (-1, 2]
Given the piecewise function: f(x)= {2x-7, x<-8 and 7-x, x>=-8, what is f( -3), f(-9), f(-8), and f(4)?
f(-3)=10; f(-9)=-25; f(-8)=15; f(4)=3
(-inf,inf)
y=-3/2 x +4
After graphing the linear inequality system
2x-3y>6 4x+2y<8
which of the following points are a solution to the system: (-2,4)
(0,-2)
(2,-4)
(4,0)
(2,-1)
(2,-4) and (2, -1)
What is the domain and range of function #2 on the board?
Domain: (- inf, 8]
Range: (-inf, 2]
Graph f(x)={-3x+4, x<-2 and x-6, x>=-2
Must see graph
Solve the following system:
4x+4y+z=24
2x-4y+z=0
5x-4y-5z=12
(4,2,0)